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Cowboy Bebop (one of the most amazing OST ever)
Tsubasa Chronicles (and pretty much everything from Yuki Kajiura)
Naruto Shippuden (don't like the anime, but the music is amazing)
Death Note

Myself ; Yourself at the moment

My god, best OST with a violin in it. Seriously the emotion through the music is so strong.

Death Note and Naruto OST are very good too.

I don't think Gunslinger Girl will be displaced for awhile, though Romeo x Juliet and the ARIA franchise has done a good job of measuring up to it.

So many to name and to list them all :P

Clannad
Air
Kanon
Mononoke-hime

Tengen Toppa Gurren Lagann, most of the tracks.

Clannad
Air
K-ON
Angel Beats!
Fairy Tail
Strike Witches has some nice ones.
Higurashi no Naku Koro ni`s op is very catchy.

So many good ones, but here are a few:

Bleach
Clannad
Kanon
Air
Tsubasa Chronicle
Full Moon wo Sagashite
Vampire Knight
Naruto
Sola

Neon Genesis Evangelion
Code Geass (both seasons)
Terra e...
Gundam SEED/SEED Destiny
Howl's Moving Castle
Durarara!!
Death Note
Fate/Stay Night
Baccano
Escaflowne
Clannad
Nausicaa

i really like the OST of Pandora Hearts! :D

Rozen Maiden- Battle of Rose

Fullmetal Alchemist- What can I say? I'm a huge Fullmetal Alchemist fan so I'd say, any of the openings, and Bratja, and Beaming Sunlight.

Fullmetal Alchemist: Brotherhood- Lurking

Shugo Chara!- Jounetsu wo Himete

Cowboy Bebop
Princess Mononoke
Akira
Spirited Away
Ghost in the Shell (movies)
Samurai Champloo
Hellsing
.hack//SIGN
Ghost in the Shell: Stand Alone Complex
The Vision of Escaflowne
Wolf's Rain
Neon Genesis Evangelion
Macross Plus
Earth Girl Arjuna
FLCL
Death Note
Elfen Lied
Fullmetal Alchemist
Noir
Howl's Moving Castle

Okay, here we go!

Clannad: Farewell at the foot of a Hill/Nagisa Theme
Clannad: Shining in the Sky/Ushio Theme
Clannad: The Palm of a Tiny Hand
Clannad: Dango Daikazoku (Does that count as an OST?)
Fairy Tail: Main theme
Fairy Tail: Main theme slow version
Fairy Tail: Main theme metal version
Fairy Tail: Dragon Force
Fairy Tail: Happy no Theme
Fairy Tail: Natsu no Theme
Fairy Tail: Grey no Theme
Fairy Tail: Eternal Ice
Death Note: Near's theme

And so much more! I love the music of Fairy Tail!

Well my favorite is from Clannad - Nagisa Song
Shining in the sky
Uminari
Town, Flow of time , People
Existence
Snowfield
To the same heights

full metal alchemist - amestris military march
hitman reborn - at the end of a struggle (brought me to KHR^^)
angel beats - my soul, your beats + nearly all GDM Songs
beck - brightest (never heard that song in the show itself Oo)
black butler - the dark crow smiles (remix); ich bin der welt abhanden gekommen; a diabolic waltz; I'm Alive
C - Marx Syndrome
Cowboy Bebop - Bad Dog, No Biscuits
Darker Than Black 2 - Savage Dog Cerberus
Fairy Tail - Dragon Slayer; Erza's Theme
Soul Eater - Psychedelic Souljam
Ergo Proxy - Kiri (opening)

i think there are a lot more^^

My favourites are:
Nagai Nagai Yume no Naka Utage - Baccano
Higurashi No Naku Koro ni
Ringo Mogire Beam - Sayonara zetsubou Sensei
Uragiri no Yuuyake Durarara
Theme for Panty & Stocking

anything and everything from Yuki Kajiura.

My favorite are:

Ghost Hunt - ending theme, main theme, and Hyoukai
Gintama - pretty much all of them :D
Death Note- L's Theme
Samurai Champloo - Mystline and Just Forget
Fairy Tail - Main Theme
:D

Cowboy Bebop [including Music for Freelance Remixes]
Samurai Champloo
The Animatrix

I could listen to these entire OSTs and never skip one track. Maybe a few from Bebop just cause there's so many...

Ill tell the name of the series where the OST comes from, cause I usually listen to all of the musics together and dont have one to list above the other in most cases.

Cowboy Beepop
Samurai Champloo
Death Note
Heat Guy J
Soul Eater
Beck (how can someone dont like this ost)
D.Gray Man
Tegami Bachi

My favorite composers are Joe Hisaishi, Koji Kondo, Sawano Hiroyuki, Nakagawa Koutaro, Yoko shimomura and Yoshihisa Hirano. So:
Chihiro
Guilty Crown (The serie might not be that good, but the OST is the most epic I've heard)
Gundam Unicorn
Code Geass
Planetes
Sword Art Online
Clannad
Fullmetal Alchemis Brotherhood
Zetsuen No Tempes
One Piece
Bleach
Cowboy Bebop
Ergo Proxy
Shingeki no Kyojin
Suisei no Gargantia
Zombie-Loan
Gundam 00
Howl no Ugoku Shiro
Kaze no Tani no Nausicaa
Neon Genesis Evangelion
Psycho-Pass
Tenkuu no Shiro Laputa
Tekkon Kinkreet
Mononoke Hime

And the not anime OST list is to long. I love OSTs.

My favourite OSTs include (not in any particular sequence)

1. Da Capo
2. Mai HiME
3. Rozen Maiden Traumend
4. X TV
5. True Tears
6. Fate Stay night
7. Ai Yori Aoshi ~Enishi
8. Kara no Kyoukai (specifically OSTs from movie 3 and 6)

I'm a fan of Shinkichi Mitsumune, Kajiura Yuki and Kenji Kawai. :)