I have several criteria for liking animé (artwork, character development, music, plot line etc.) Some of these animé meet at least one but possibly more of these.

Some of these are incomplete, ongoing amimé and some are over and done with but are worth checking out.

I'm NOT putting links to these as there are several, sometimes redundant sources. Okay I'll give links to one.

These are sometimes forced not to give links to the animé because of licencing agreements.

I recommend checking the three sites I gave links to in the front age. Some of these series have WikiPedia entries.

I'm not giving away plot lines or spoilers.

I'm skipping over the juvenile dreck, the posed animations with no "tweening" and crappy artwork out of an eighties video game,

I'm giving you a list of the animé that I watched more that one episode of, which usually means that I watched all of the episodes.

A through M

The series:

• 11 eyes was an entertaining trip through time and space.
• Acchi Kocchi is another one of those shy girl clueless guy animé but its well drawn and the story line is cute enough to pass.
• Ah! My Goddess &
• Ah! My Goddess: Everyone Has Wings &
• Ah! My Goddess: Fighting Wings &
• Ah! My Goddess: Flights of Fancy, (But I have just discovered a site with the manga and its got a lot more episodes. :-) [すき,すき...すき Ah my Goddess])
• Ah! My Goddess; Together Forever seems to be the latest installment.
• AIka-16 Virgin Mission is an enjoyable piece of fluff.
• AIKa Zero is definitely for the titillation of young boys. Its ongoing so lets hope the plot improves.
• Aishiteruze Baby is one I'm revisiting in summer 2012. 
• Ai Yori Aoshi,
• Ai Yori Aoshi Enishi these two are the most likable animé about a kid who was hard done by, got away to make his own way in the world and gets rejoined by the stubborn determination of the girl he was promised to/with years ago. (Actually fun when the story moves to a larger venue.) Unfortunately it does not come to a definite conclusion. Life's like that, but usually, uh, shit happens.
• Akaneiro ni Somaru Saka is a retro bit of echi I picked up for Summer 2012.
• Allison & Lillia
• Amaenaideyo, Fun little series about priestesses, monks and the trouble he can into.
• Amaenaideyo Katsu, more fun with ecchi.
• Angel Beats! This odd little creation starts dead school kids. Depressing and compelling at the same time.

• Ano Hi Mita Hana no Namae wo Bokutachi wa Mada Shiranai (あの日三田花の芳名ウォ僕たち府マダ知らない [Wo Mada us know your name's office that day flower Mita]) is a nice story, but the title is fuckin' weird.

• Ano Natsu de Matteru is a bit of alien echi for winter 2012. 

• Another is a genuinely weird one for winter 2012. 

• Appleseed XIII is a weird mecca series with an unusual art style. 

• Ao no Exorcist is a compelling little manga about Satans' reluctant child. So reluctant that he is becoming an exorcist...
• Arakawa Under The Bridge is one of the weirdest stories I have ever encountered. I started with the manga but its also moving along with an animé which is utterly in-com-pre-hen-si-ble. I'm sticking with this for the head scratching it causes.Aw-right. By episode 3 I was sold. I definitely want to follow this one. The female protagonist may be a Venusian but she's succeeding in her aim to teach more about being an Earthling to all who watch her. Holy crap. Its getting weirder and weirder, but its even more fun to watch.
• Arakawa Under The Bridge x Bridge is a new season. Yay! 

• Armed Librarians (being the son of a librarian, I wasn't even trying to resist this one,) This is a fascinating little bit of fancy. The librarians and the keepers of people's 'book of days", being the stories of their lives. Its over now and some aspects were a little too mystical for my tastes but it was logical, within its own framework. It was actually interesting.

• Asobi ni Ikuyo: Bombshells from the Sky is kawaii as hell, starring a pneumatic as Hell neko-chan from outer space.

• Astarotte no Omocha! is a fun little animé about Yggdrasyl, succubi, and a human (consultant.)

• Asu no Yoichi! cute little tale with a good tune.
• B Gata H Kei is a little aminé about a pervert girl who's looking for 100 fuck buddies. Starting with the first one seems to be a problem...
• Baka Test Shoukanjuu  WOW a wacky look at school.
• Bakuman is a self-referential animé/manga about manga artists
• Battle Girls; Time Paradox is an entertaining ecchi animé.
• Ben-To is a little ecci animé for fall 2011.
• Binbō shimai monogatari  [貧乏姉妹物語 {Poor sister story}] is also a manga I discovered at the end of the fall 2011 season. 
• Birdy the Mighty Decode:02 Prologue (trying to look up the manga but this is actually an old series orphaned by the author.)
• Black Cat (黒猫[Kuro neko])is another one of these detective, uh wierd, series that actually is fairly good (not the best action drawing [you can tell it was a manga [too many pans over an image instead of action], but not bad.)
• Black Lagoon is one of the best fucking animé I've ever seen. Reminiscent of Ghost in The Shell.
• Black Lagoon Second Barrage is the next installment.
• Black Rock Shooter (TV) is an intriguing (nay psychological triller of an ) animé for Spring 2012.
• Blade of the Immortal. A bloody little tale featuring a homicidal, katana wielding, but somehow endearing, immortal socio-psychopath.The theme music for this series is quality and the singer is really, really good. Its made it to my iTunes.
• Bleach, (I love the artwork on this series,) 
• Blood+, (and the live action movie of the same name,)

• Blood C seems to be another take on the tale of Saya, the demon slicer, for summer 2011.
• Boku wa Tomodachi ga Sukunai is another one for fall 2011.
• Busou Shinki Moon Angel is a fun little juvenile little on I', following for summer 2012. 
• Burst Angel is one that I'm picking up after finding another angelic themed animé. Its a mech and its dubbed NOT subbed. (Not quite m cup of tea but I'll stick to it for now.) There was  a prequel but I couldn't figure out the UI to make it full screen and the subbed dialogue was illegible so, fuck it. Okay, even if its not in the original Japanese, its surprisingly good.
• C3 aka Cube x Cursed x Curious is another ecci for fall 2011.
• [C] The Money of Soul and Possibility Control is something strange. Supposedly about money. Its a little too mystical for that. :-)
• Carnival Phantasm is a series for fall 2011 that has me asking WTF? I really don't understand all of the jokes but the ones I do get are funny as heck. 
• Chaos;Head is another of these "mysterious" Japanese stories. And its got a sequel: Steins;Gate. 
• Chihayafuru is new for fall 2011.
• Cho bits is an oldie that I went back and picked up. Its goo. and hentai.
• Chu Bra!!an odd li'l aminé about underwear.
• Chuunibyou demo Koi ga Shitai! is one of those short ones, but with potential..
• Clannad is a weird animé that is starring a bored student, a theater student, a MF tranny (maybe,) and a ghost/spirit/something kawaii.
• There's even a sequel.
• Claymore is one of those oddly moving Animé that is really worth watching.
• Dakara Boku wa, H ga Dekinai is an ecchi that I discovered late in summer 2012. (I'm laughing at it... :-) 
• Dance in the Vampire Bund. this vampire tale is a different take on an old tale.
• Dantalian no Shoka is all about a library, a mystical library. Summer 2011.
• Darker Than Black &
• Darker than Black: Ryuusei no Gemini This was actually a good sci-fi series. It had a engaging story arc, compelling characters and enough conflict to keep tension between antagonists and protagonists ratcheting up and down as the series progressed.

• Denpa Onna to Seishun Otoko is a weird animé sort of reminiscent of Arakawa Under The Bridge, but stranger, if that's possible.
• Densetsu no Yuusha no Densetsu is a new animé that looks  pretty good. 
• DearS is another of those echi animé.
• Devil May Cry is an animé about the Sam Spade of devil hunters. Sometimes it was even good. I wouldn't mention it if I hadn't found it entertaining.
• Dog Days is a well drawn animé that seems to be novel. 
• Dororon Enma Kun Meeramera is living proof that the Japanese are really not hung-up on a whole lot. Between scenes in a girl's bathrooms, a granny swinging her tits around like Nunchucks and so on...
• Dragon Crisis is kawaii, the protagonists are too young by far, but dark enough so far.
• Durarara, a tale of a ancient headless Irish figure, a Japanese mainland current epoch researcher and its a love story regardless. Its getting better after episode 12.
• Ebiten: Kouritsu Ebisugawa Koukou Tenmonbu is an ass-tromony club animé. 
• Ef - A Tale Of Memories This one hits close to home. My mother suffered a series of mini-strokes which damaged her hypothalamus and left her pretty much like Chihiro for the last decade of her life. The series is excellent and leaves me sad knowing that there are people like that... People who have to write everything down because that is the only way they remember. The problems come when it takes longer to read the books that it does to fill them... Its really touching. Episode 8 is sort of tragic. Excellent writing, excellent animation and good music. Damn this series is good.
• El Cazador de la Bruja (japlish for "Cazadores de brujas" ["Witch Hunter"]) is a 26 episode animé that seems to be set in Mexico, of all places. So far so good. The artwork is pretty good, the plot is a  little mysterious (Starts with a discussion of Maxwell's Demon then jumps to Mexico.) The series should perhaps be called Project Leviathan (プロジェクトリヴァイアサン). I just discovered that these shows are also subbed in French when an episode (#20) was just not loading. I Googled that particular episode and found a French sub. Since I speak French, I have doubled my sources for watching Aminé.Its part of a Girls With Guns trilogy.
• Ergo Proxy is a series that I had resisted watching since it firs came out because it didn't jibe with my  world view. It still doesn't and the art style reminds me of the early  days of "Metal Hurlant" (a.k.a. "Heavy Metal" in the Anglo world) so it taken me literally years to get around to. But it was there and I can now criticize by doing the old "contrast and compare".
• Eureka Seven AO is a new one for spring 2012. Mecha with a descent story. Who knew? 
• FairyTail is a well drawn 'lil series of morality tales.
• Final Approach is defunct, and its hard to see how it could be revived after the final climax in episode 13, series that was fun to check out.
• Flag is a new one for fall 2011 that looks a lot more nuanced than most of them. The art is reminiscent of Belgian '50 Hergé.  
• Fooly Cooly was a short (6 episode) fast paced, entertaining but pointless experimental animé. Its worth the watch if you're willing to accept it at face value. It had great music though.
• Fortune Arterial is another one of those "highschooler vs. vampire" series but it well drawn and the plot seems to be moving along rather well.
• Fractale is one weird series based on a manga of the same name. Its a little further along in the manga but not much.
• Freezing is another one of these fighting girls, with severely pneumatic shapes, animés that we have all come to know and love. Its really violent and bloody. We'll see what its got in mind for episode 2.
• Furusato Saisei: Nihon no Mukashi Banashi is a little series of japanese folk tales. 
• Ghost in the Shell: SAC (Stand Alone Complex.) is an animé series I hesitated to start.But I'm glad I did. There also a second season. 
• Girls Bravo is one of these thing I started to watch because it almost starts in a bath tub. Sorry but hentai or no, this series is too lame. I hate the fact that I can't get anything but the English dub version. It improved in year two ... but not by much. Year two... I don't know if that says I'm an persistent, hopeful idiot or a potential masochist.
• Gokicha!! Cockroach Girl! is a weird one. 
• Gosick is an addictively well drawn animé. The plots are more than the mundane ecchi stuff.
• Guilty Crown is an intriguing animé for fall 2011. 
• H2O: Footprints in the Sand is an old animé that I am watching  so as not to get bored while my phone charges. 
• Haibane Renmei [はいばね れんめい {"Yes, spring Mei Ren"}] is an odd animé about angels who come to Earth having forgotten they were angels. I like the fact that it acknowledges it french heritage in the series subtitle "Une Fille Qui a Des Ailes Grises" (French for "A Girl With Gray Wings".) I have never seen any program so odd, so well drawn, so well animated, so captivating. This is an absolute delight! Sartre would be proud of the existentialist themes revealed in this series. Man its got good themes, good writing, good (appropriate,) music, good art direction, good animation. This is an awesome series. And its not just me who thinks so. [ http://psican.org/alpha/index.php?/Pop-Culture-The-Paranormal/Charcoal-Feathers-In-Old-Home.html ] 
• Hagure Yuusha no Estetica is a new sort of cute sort of serious one for summer 2012. 
• Hakuouki a pedestrian "drame de cap et épée" taking place in the Edo  era, with a switch; the protagonist is female.
• Hatsukoi Limited (Specially episode 9) Young love... ahhhh.

• Hanamaru Youchien (はなまる幼稚園 [ hanamaru kindergarten ] is a kawaii tale of some kindergarteners. (But they get up to some non kindergartner-ish shenanigans.)  Its unusual in having a different ending theme for every episode (12) by some very good musicians. It's based on a Manga .

• Hanasaku Iroha is the best animé I have seen in a long time. This one feels REAL.
• Hell girl was a find, Its got a sequel and another sequel. Now as to whether it was satisfying... I watched three seasons of it and I'd watch another morally ambiguous season in a second (well thirteen hours anyway.)
• Hidan no Aria is another one that's different enough to be entertaining.
• Highschool DxD is the first for spring 2012. I love the concept (a vampire story with som, uh, bite to it.) but the translation just about ruined it for me. Let me check the mirrors. Okay, episode 2 and the translation problems seem to be resolved. And this is definitely ecchi. :-)
• Highschool of the Dead your basic zombie story, except its happening to some Tokyo high school students.
• Hiiro no Kakera is a basic romantic/supernatural pot boiler for spring 2012. 
• Hit No Nerae
• Holy Knight is a bit of a stretch with echi vampires, humans, kawaii cats and bishunen dogs. It's definitely weird.
• Honey an Clover is a delightful animé I have just discovered. But I have just discovered season 2 on Hulu.
• Hourou Musuko (ほうろう  むすこ [son enamel?!?]) is another of these gender bent animés
• House of Five Leaves looks like its going to be a good one.Episode 3 and I am hooked. I have to follow this to the conclusion. Its fascinating to follow this twisted tale of benign (and not so benign,) characters.
• Hyakka Ryouran: Samurai Girls is a bit of silliness mixed with some hentai.
• Hyouka is something silly for sumer 2012.
• Ichiban Ushiro no Daimaou looks like its going to be a fun (lots of "ecchi" and ぱんちー {panties} :-)  series. Sword, manic and sorcery. Did I mention that its got a kick-ass intro song. :-)
• Ikoku Meiro no Croisée is a charming fish-out-water take.
• Inuyasha &
• Inuyasha: The Final Act. Strangely, I have seen this series called Kanketsu Hen [かんけつへん] which means succinct|crisp side(in geometry)|funny|strange  (Hey, they can't all be written like さといち [Satoishi], the blind swordsman. Nor are they like Kurosawa [くろさわ] riffing on King Lear. :-) Its finally over. No more tales of the little dog boy wailing after his Kagomé...
• Inu x Boku SS is a strange, read occult, one  for Winter 2012.
• Jinrui wa Suitai Shimashita is an odd one for summer 2012. Really odd! Arakawa under the bridge odd. 
• Jormungand is a great series, reminiscent of (ok its a pale imitation of) Ghost in the shell. Its just have that vibe.
• Joshiraku is a new one for the hot days of sumer 2012.
• K-ON is one of those animé I resisted for  long time. Its okay. Not great but its okay.
• Kaichou wa Maid-sama! looks like its going to be interesting.The artistic style seems to drift from Japanese animé to the more rotogravure and thick outlines of French and  Belgian B.D. Its actually quite enjoyable to see the styles and how the mangaka is able to drift from one style to the other.
• Kannagi slides under the bar for kawaii stuff. Okay, This was a great series.Entertaining as well as enlightening and fun to boot,
• Kamisama ni Memochou is this (2011) summer's entertainment. Its got everything I like in a story: murder/suicide, prostitution a defective detective and a recalcitrant helper.
• Kashimashi: Girl Meets Girl is another wacky little bit of gender bent Nihongo story telling.
• Katanagatari, (Nope. I don't like this series anymore. The character is revealing himself to be incapable of distinguishing someone who deserves to be erased from someone who deserves to be drawn. He's just a brainless oaf and doesn't deserve to be wielded anymore than a katana.)
• Kamisama Dolls is a strange offering, sort of mecha, sort of spiritual. sort of familiar, for summer 2011 
• Kekkaishi was a one shot marathon on a 52 episode tale. Phew...
• Kimi no Iru Machi is a new ecchi for spring 2012: 
• Kimi Ni Todoke, (the more I watch of this animé, the more I like it,)
• Kino no Tabi: The Beautiful World is an oldie that I just picked up. There's even a prequel. 
• Kokoro Connect is a new one for summer 2012. Its about gender switching.
• Kono Naka ni Hitori, Imouto ga Iru! is something for summer 2012. 
• Kore wa Zombie Desu ka? [これ わ Zombie です か? {Zombie I do this?} is another of these really weird stories only the Japanese could think up. Its not the most mature artwork but its not repulsive either. Here is Season Two.  
• Kurage Hime (Jellyfish Princess) is a delightful animé about female otaku (with a T.S. one.) I love this series. I have no idea what's coming next.
• Kurau: Phantom Memory is unusual for me because is on Hulu (not my usual source for these and its available just as an English dub.) It was an interesting take on invasion of the body snatchers. The body snatchers were benign in two cases.
• Kuro Majo-san ga Tooru!! is a weird series. If the episodes were longer that a mere 6 fucking minutes, I might get to like them. 
• Kurokami, was a definitely weird animé that I am watching again, partly because I enjoyed it that much. It was hell to find again though so I'm not guaranteeing anything.
• Kuroshitsuji might be interesting or it might be a train wreck. More later.Its later. Don't bother....
• Kyouran Kazoku Nikki is a wierd little amime from 2008.
• Kyoukai Senjou no Horizon is something for fall 2011.  Its not exactly echi but it is well drawn. There's a sequel for summer 2012.
• Ladies vs Butlers is a well drawn and well translated little tasty treat with the usual obsession for young ladies ぱんちー {panties} and chichi [ちち {breasts}. The artwork is, uh exquisite. (Its also a manga,)
• Last Exile was a satisfying Aminé. This one made extensive use of anachronistic technology and relied on a power source for fueling their planes and airships that may have been, uh, interesting but required a total buy-in that any/all technology could develop in this hap-hazard fashion.
• Last Exile: Ginyoku no Fam is the sequel. 
• Letter Bee was another satisfying animé. Once again it was filled with a world view that required some anachronisms, but it was still enjoyable.
• Letter Bee Reverse starting at episode 26 seems to be the sequel.
• Level E is one of those entertaining Mork and Mindy (well Mork and Marky anyway) little visiting alien type animé. I should be good for a laugh.
• Loups-Garous  (which is french for werewolf, [which made no real sense since the chief antagonist was actually a cannibal.]) was a 98 minute long animé. It was pretty good too. There can be no series or sequels.
• Love Hina i was scraping the history files when i came across this fun little animé.
• Love-Ru, Just starting this one, Ok, all Japanese are crazy for aliens, princesses and having a screwed up guy in the middle of it all. This is going to be another pleasurable romp through sanity and common sense, Kewl... It's got a kick-ass rocking good intro tune. (A YouTube of it is here. [ http://www.youtube.com/watch?v=UWfwYy9uoMU ]) The art in the opening is reminiscent of Rauschenbrerg prints. Very pop-art. This is f.u.n.n.y) 26 episodes and 6 OVAs. There went the weekend. :-)

That's not counting watching hundreds of sub-par episodes. (Sleep! I'll sleep enough when I'm dead! Sleep is for the weak!.)