I'm going to assume by "obsucure" you mean "WTF is going on?" "does this show have a plot or any kind of direction?" or "The creator was clearly smoking something."
*Akira. (Never understood it).
*Alien 9. (Little girls in skater gear who fight aliens who have invaded their school).
*Boku Patalliro. (No actual plot).
*Colorful. (Short stories about dumb guys who can't get laid, I guess).
*DiGi Charat. (A couple of alien cats come to earth to work in a game store).
*Dragon Half. (A girl who is half dragon/Human saves the world so she can marry an idiot who sings).
*Earthian (Emotional robots, angels with cancer, a planet where all men & women are gay & no one ever has kids).
*Excel Saga. (A hyper idiot & her anemic partner try to help a guy take over the world).
*Evangelion. (Still not sure what it's about).
*Furi-Kuri (FLCL). (Not sure what it's about).
*Golden Boy. (A crazy guy who drives women batshit, but then runs away after they start to like him, I guess).
*Goldfish Warning. (A flying goldfish & a school with a teenaged principal).
*Green Legend Ran. (Not really sure).
*Hal Gansis Tutu (Princess Tutu). (Far too complicated to explain).
*Here & There, Now & Then. (Kinda like the Wizard of Oz, but with a war).
*Jungle wa Itsumo Hale Nochi Goo. (Hare + Guu). (A jungle boy, a girl who eats everything, & the people who live inside her stomache).
*Juubei-Chan. (A samurai, who turns old unless doused in water, delivers the soul of his fat old master/boyfriend into the body of a nonchalante teenaged girl to save her town from the crazies).
*Magical Play. (It's like a video game, but not).
*Magical Shopping Arcade Abenobashi. (Ummm...)
*Majin Tantei Nougami Neuro. (It's like Beetlejuice, but with violence).
*Mamono Hunter Youko. (Demon Hunter Yohko). (An upskirt hero who sucks at her job).
*Nekojiru Sou. (Cat Soup). (Has no actuall talking, logic has no place in the movie or the series).
*Perfect Blue. (Trying to figure out who's REALLY crazy).
*Petshop of Horrors. (The grandson of an endangered Chinese Kami species sells pets to people that give them trippy hallusinations before killing them).
*Please Save My Earth. (Forgot >.<).
*Photon: The Idiot Menace. (Hard to explain).
*Project A-Ko. (She Hulk + Iron Man + irritating lesbian + school = this).
*Serial Experiments Lain (Forgot, but watching the episides from last to first is trippy).
*Shadow Star Narutaru. (Aliens, school kids, cospiracies, & lots of gory death).
*Shamanic Princess. (Too stupid to remember).
*Unico. (A tiny unicorn saves the world from a puppet who makes buildings out of puzzle pieces made out of living humans).
*Weiss Kreuzz. (Woe unto any woman who looks one of these poor bastards in the eye, for she will surely die).
*Akira. (Never understood it).
*Alien 9. (Little girls in skater gear who fight aliens who have invaded their school).
*Boku Patalliro. (No actual plot).
*Colorful. (Short stories about dumb guys who can't get laid, I guess).
*DiGi Charat. (A couple of alien cats come to earth to work in a game store).
*Dragon Half. (A girl who is half dragon/Human saves the world so she can marry an idiot who sings).
*Earthian (Emotional robots, angels with cancer, a planet where all men & women are gay & no one ever has kids).
*Excel Saga. (A hyper idiot & her anemic partner try to help a guy take over the world).
*Evangelion. (Still not sure what it's about).
*Furi-Kuri (FLCL). (Not sure what it's about).
*Golden Boy. (A crazy guy who drives women batshit, but then runs away after they start to like him, I guess).
*Goldfish Warning. (A flying goldfish & a school with a teenaged principal).
*Green Legend Ran. (Not really sure).
*Hal Gansis Tutu (Princess Tutu). (Far too complicated to explain).
*Here & There, Now & Then. (Kinda like the Wizard of Oz, but with a war).
*Jungle wa Itsumo Hale Nochi Goo. (Hare + Guu). (A jungle boy, a girl who eats everything, & the people who live inside her stomache).
*Juubei-Chan. (A samurai, who turns old unless doused in water, delivers the soul of his fat old master/boyfriend into the body of a nonchalante teenaged girl to save her town from the crazies).
*Magical Play. (It's like a video game, but not).
*Magical Shopping Arcade Abenobashi. (Ummm...)
*Majin Tantei Nougami Neuro. (It's like Beetlejuice, but with violence).
*Mamono Hunter Youko. (Demon Hunter Yohko). (An upskirt hero who sucks at her job).
*Nekojiru Sou. (Cat Soup). (Has no actuall talking, logic has no place in the movie or the series).
*Perfect Blue. (Trying to figure out who's REALLY crazy).
*Petshop of Horrors. (The grandson of an endangered Chinese Kami species sells pets to people that give them trippy hallusinations before killing them).
*Please Save My Earth. (Forgot >.<).
*Photon: The Idiot Menace. (Hard to explain).
*Project A-Ko. (She Hulk + Iron Man + irritating lesbian + school = this).
*Serial Experiments Lain (Forgot, but watching the episides from last to first is trippy).
*Shadow Star Narutaru. (Aliens, school kids, cospiracies, & lots of gory death).
*Shamanic Princess. (Too stupid to remember).
*Unico. (A tiny unicorn saves the world from a puppet who makes buildings out of puzzle pieces made out of living humans).
*Weiss Kreuzz. (Woe unto any woman who looks one of these poor bastards in the eye, for she will surely die).