Wow, getting a comment on my old list made me realize I hadn't updated in a LONG time! So here's my newest list. I'm also now using a site called myanimelist.net - under the username starpetals. Thanks Time Chaser for telling me about the site!
So here's my list. I haven't seen every episode of everything listed (for example, Deadman Wonderland - it's ongoing). Also you may notice Naruto is not on my list. I've seen bits and pieces, but not from the beginning.
Ah! My Goddess
Air
Ai Yori Aoshi
Angelic Layer
Ayashi no Ceres
Aquarian Age
Azumanga Daioh
Aria
Big O
Black Blood Brothers
Black Butler
Black Cat
Bleach
Blood+
Cardcaptor Sakura
Chobits
Chrono Crusade
Clannad
Claymore
Code Geass
Cowboy BeBop
Deadman Wonderland
Death Note
DNAngel
Dragon Ball Z
Elfen Lied
Emma: A Victorian Romance
Fate/Stay Night
Fruits Basket
Full Moon o Sagashite
FullMetal Alchemist
FullMetal Alchemist Brotherhood
Full Metal Panic
Full Metal Panic FOMUFFU
Fushigi Yugi
Gantz
Ghost Hunt
Gilgamesh
Haibane-Renmei
Hell Girl
Hellsing
Here is Greenwood
His and Her Circumstance
I My Me! Strawberry Eggs!
InuYasha
Kaze no Stigma
Koi Kaze
Kyo Kara Maoh
Le Chevalier D’Eon
Legend of Himiko
Love Hina
Loveless
Magic Knight Rayearth
Magic Users Club
Mahoramatic Automatic Maiden
Mermaid Forest
Moon Phase
Mushi-Shi
My-Hime
My-Zhime
Nabari no Ou
Nana
Negima!
Negima?!
Neon Genesis Evangelion
Noein
Ouran High School Host Club
Otogi Zoshi
Paradise Kiss
Peach Girl
Pretear
Read or Die TV
Red Garden
Romeo x Juliet
Rozen Maiden
Rumbling Hearts
Sailor Moon
Sakura Taisen
Samurai Champloo
Samurai Deeper Kyo
School Rumble
Sentimental Journey
Serial Experiments Lain
Shin Chan
Slayers
Spiral
Somedays Dreamers
Soul Eater
Story of Saiunkoku
Tengen Toppo Gurren Lagann
The Familiar of Zero
Tactics
The Melancholy of Haruhi Suzumiya
Tokyo Underground
Trinity Blood
Tsubasa Reservoir Chronicle
Tsukihime Lunar Legend
Twelve Kingdoms
Utawarerumono
Vampire Knight
Visions of Escaflowne
Wedding Peach
X
xxxholic
Akira
Angel Sanctuary
A Tree of Palme
Aquarian Age
Black Jack
Bleach: The Diamond Dust Rebellion
Bleach: Memories of Nobody
Bleach: Memories of the Rain
Blood: The Last Vampire
Cardcaptor Sakura: The Movie
Cardcaptor Sakura: The Movie 2
Castle in the Sky
Dead Leaves
Eight Clouds Rising
FullMetal Alchemist movie
Fushugi Yugi OVA’s
Ghost in the Shell
Grave of the Fireflies
Howl’s Moving Castle
Inuyasha: Affections Touching Across Time
Inuyasha: Castle through the Looking Glass
Inuyasha: Fire on Mystic Island
Inuyasha: Swords of an Honorable Ruler
Interlude
Karas: The Prophecy
Kiki’s Delivery Service
Kite
Le Portrait de Petite Cossette
Maze
Memories
Metropolis
Millenium Actress
My Beautiful Girl Mari
My Neighbor Totoro
Nausicaa of the Valley of the Wind
Ninja Resurrection
Ninja Scroll
Origin: Spirits of the Past
Paprika
Perfect Blue
Princess Mononoke
Ponyo
Rayearth
Read or Die
Sailor Moon: Black Dream Hole
Sailor Moon: Hearts on Ice
Sailor Moon: The Promise of the Rose
Slayers
Slayers Great
Spirited Away
Steamboy
The Girl Who Leapt Through Time
The Place Promised in Our Early Days
Tokyo Godfathers
Tsubasa Resevoir Chronicles: Princess in the Bird Cage
Tsubasa OVAs
Vampire Hunter
Vampire Hunter D
Vexille
Voices of a Distant Star
Whisper of the Heart
X/1999
Xxxholic: A Midsummer Night’s Dream
Live Action:
Ashura
Azumi
Bishoujo Senshi Sailor Moon
Death Note
Death Note II
Dolls
The Great Yokai War
Hana: The Reluctant Samurai
The Hidden Blade
Honey and Clover
Kamikaze Girls
Last Quarter
Mushi-Shi (Bugmaster)
Nana
Nana 2
Princess Raccoon
Shinobi
Sukeban Deka: The Movie
The Princess Blade
Non—Anime Animation:
The Book of the Dead (puppetry)