i dont have anylinks.... but here are some of my favs:
From Inuyasha- My Will, Itazurana KISS, Every heart, Yura Yura, No More Words, Dearest, Fukai Mori, Shinjitsu no Shi, and Come
From Naruto- Rocks!, Kanashimi wo Yasashisa ni (sounds so cute!) , and Ima Made Nando Mo
Fullmetal Alchemist - Ready Steady Go
Ai Yori Aoshi + Enishi - The Indigo, Takaramono, and Towa No Hana
From Angelic Layer: Be my only Angel, and the 2nd ending theme (dont remember the name)
Fushigi Yuugi - Opening theme and Ending theme (probibly my favorite anime songs!)
Full Moon wo Shagashite - Eternal Snow
Full Metal Panic! - Tomorrow
Full Metal Panic Fumoffu - Opening Theme
Gundam SEED - Opening Theme (Invoke) and The ending theme (eventhough ive never even seen gundam! lol)
Mahoromatic- Kaerimichi
Mahoromatic Something More... - Soreiyu
well ive got alot more.... you can go to dogpile and search in audio to download em ^_^
The Bleach OST is pretty good, same with .Hack Sign. Intro from Outlaw Star, Trigun if you like country and blues. Initial D's got a kickass OST in my opinion, Gungrave, Elfin Lied, and Hellsing too if you can find them.
FLCL - Ride on Shooting Star
Inuyasha - My Will
FLCL - Little Busters
Azumanga Daioh - Raspberry Heaven
FLCL - Crazy Sunshine
FLCL - Last Dinosaur
Inuyasha - Fukai Mori
Inuyasha - Every Heart
I'm a big fan of pretty much every theme from Bleach. Specifically the 2nd ending theme "Thank You!" and technolife, along with Technoyashi. the in-show themes are also excellent.
I also love Naruto's Seventh Opening, during the sasuke retrieval arc. And who DOESN'T love Harukakanata?
Detective Conan:
Nazo (Mystery)
Hikari to Kaze no Roman (it is something like that)
Truth
Gundam Seed:
Zips (used in the movie)
Anna no issho Datta No Ni
In this Quiet Night
Invoke
Meteor
Find the Way
Gundam Wing
Last Impression
Rythym Emotion
Just Communication
Cyborg 009
Genesis Of Next
any of the instrumental Pieces
Record Of Lodoss Wars
Addesso E Fortuna (both the instrumental and the actual song)
Prologue ( the instrumental at the beginning where they tell the background story)
Fantasia (the ending theme)
Furi Kuri (FLCL):
Hybrid Rainbow
Ride on a Shooting Star
Evangelion:
Thesis Of A Cruel Angel
Fullmetal Alchemist
Unerasable Sin
Ready Steady Go
those are what I can come up with off the top of My Head
A lot of the instumentals in the Anime series' are awesome
My Will (Inuyasha)
Change the World (Inuyasha)
Everyheart (Inuyasha)
Why (Inuyasha)
Brand New World (Inuyasha)
Kikyo's Theme (Inuyasha)
Yura Yura (Inuyasha)
A Stray Child (.hack//sign)
Fake Wings (.hack//sign)
In the Land of Twilight, under the Moon (.hack//sign)
Key of Twilight (.hack//sign)
The World (.hack//sign)
Obsession (.hack//sign)
Aura (.hack//sign)
Sakura Saku (Love Hina)
Forest of the Night (Princess Mononoke)
The Heavenly Voice (Ceres Celestial Legend)
For this Holy War called Love (Fushigi Yugi)
Make the Shinin' Star Bloom In My Heart (Fushigi Yugi)
Song of the Wind (Fushigi Yugi)
Otome Ranman (Fushigi Yugi)
Perfect World (Fushigi Yugi)
Crimson Legend (Fushigi Yugi)