Anywho, I'm moderately picky about what I watch and what I'll like (and thusly watch again {x10K}) but here's a list of the anime for which I've finished the series.(not including manga)
Elfen Lied
Final Fantasy 7 Advent Children
Fruits Basket
Full Metal Panic!
Full Metal Panic? Fumoffu
Gravitation
Howl's Moving Castle
Kiki's Delivery Service
Neon Genesis Evangelion
Ouran High School
Princess Mononoke
Princess TuTu
Return of the Cat
Spirited Away
Vampire Knight (just waiting on Season 2 to finish itself)
Yu Yu Hakusho

and that which I'm working on finishing up
.Hack (etc.)
Angel Sanctuary
Angelic Layer
Azumanga Daioh
Bleach
Code Geass
Cowboy Bebop
D.N. Angel
FLCL (it makes my brain go -mush- so this one may take me a while)
Full Moon wo Sagashite
Full Metal Alchemist
Fushigi Yuugi
Ghost in the Shell (etc.)
Gundam (etc.)
Hellsing (etc.)
Initial D (etc.)
Inuyasha (etc.)
Kuroshitsuji
Naruto (etc.)
Outlaw Star
Rahxephon
Rosario + Vampire
Rozen Maiden (etc.)
Rurouni Kenshin
Saiyuki (etc.)
Samurai 7
Samurai Champloo
Samurai Deeper Kyo
The Melancholy of Suzumiya Haruhi
Trigun
Wolf's Rain
Xenosaga (though I prefer the game 0_0)
XXXHOLiC (etc.)

and that which I've seen a bit of but have no intention of finishing
bobobo-bobo-bobo
Melancholy of Haruhi Suzumiya
One Piece
Blood +
Lucky Star
Chobits
Yu-Gi-Oh
Dragon Ball (etc.)
Ranma 1/2
Sailor Moon (etc.)

and that which I've seen but don't have a preference either way
Afro Samurai
Animatrix (though I love the antigrav episode!)
Death Note
Devil May Cry (I prefer watching the game get played ^_~*)
Hikaru no Go
Vampire Princess (kyu/miyu...? it's been a while -_-;)
Read or Die (etc.)
Shaman King
Tenchi (etc.)
The Big O
Witch Hunter Robin
Zoids (etc.)

And that which I would like to get started on because I've heard nice things about it (feel free to suggest some in my comment box!)
Demonbane
Air Gear
Shugo Chara
Cardcaptor Sakura
Special A