

I would prefer to avoid horror, tragedy, gore, cliche foozle quests, and animes where every single character is a moron. I love SMART characters, good science fiction or fantasy world building, school/military stories, romance, comedy, beautiful art, high writing quality, and bishounen.
Here's my list of anime I've already seen (a few OVAs missing, but this is almost everything):
A.D. Police
Ai no Kusabi OVA 1-2
Angel's Egg
Akazukin Chacha (Red Riding Hood Chacha)
Akira
Angel Sanctuary
Arc the Lad
Bakuretsu (Sorcerer) Hunters
Berserk
Beyond the Clouds
Boys Be
Candidate For Goddess OVA
Cowboy Bebop
Detective Academy Q
Dragon Half OVA 1+2
E's Otherwise
Earthian
El Hazard
Fake
Fashionable Judo Girl Yawara
Fruits Basket
Fujimi Orchestra
Fushigi Yuugi TV and 3 OVAs
Ghost In the Shell
Graduation M OVA 1+2
Gravitation
Great Teacher Onizuka
GreenGreen
Gunparade March
Haibane Renmei
Haunted Junction
I My Me Strawberry Eggs
Irresponsible Captain Tylor
Kizuna 1-3
Loveless
Perfect Blue
Photon: The Idiot Adventures
Like the Wind, Like the Rain
Mahou Tsukai Tai (Magic User's Club)
Master of Mosquiton
Maze: The Megaburst Space
Mirage of Blaze
Naruto
One Piece
Outlaw Star
Petshop of Horrors
Ping Pong Club
PlanetES
Princess Arete
Psychic Academy
Ranma 1/2
Ryokunohara Labyrinth
Sakigake! Cromartie High
Samurai Champloo
School Rumble
Seikai no Monshu and Seikai no Senkai (Crest and Battleflag of the Stars)
Sensitive Pornograph
Sexy Commando Gaiden Sugoiyo
Shamanic Princess
Shoujo Kakumei (Revolutionary Girl) Utena
Star of Cottonland
Starship Operators
Sukisyo
They Were Eleven
Trigun
Twin Spica
Uninhabited Planet Survive
Yami no Matsuei (Descendants of Darkness)
Zetsuai and Zetsuai Bronze