Here are the songs that I particularly liked (arranged in order)...
(1) Asterisk - Orange Range (Bleach)
(2) Share the World - Touhoushinki (One Piece)
(3) Chain - Back On (Airgear)
(4) Colors - Flow (Code Geass)
(5) Wonderful days (Prince of Tennis)
(6) What's up people - Maximum the Hormone (Death Note)
(7) Shut up and Explode - Boom Boom Satellites (Xam'd: Lost Memories)
(8) Golden Time Lover - Sukima Switch (FMA: Brotherhood)
(9) Hologram - Nico Touches the Wall (FMA: Brotherhood)
(10) Thank You - Home made Kazoku (Bleach)
Here are some songs that are still okay for me...
(1) Ohayou (Hunter X Hunter)
(2) Nazo & Start (DC)
(3) Bomb a head! (Tenjou Tenge)
(4) Tonight (Bleach)
(5) Rewrite (Full Metal Alchemist)
(6) Hero's Comeback - Nobody Knows (Naruto Shippuuden)
(7) Sakura Kiss (Ouran High School Host Club)
-8- Drivin' through the night (Ikki Tousen)
(9) Melissa - Porno Graffiti (FMA)
Kindly post link(s)....

Utada Hikaru's songs are also acceptable... (I'm only familiar with "Simple and Clean" because I was able to download a DC AMV with that song)
Thanks,
J.CoolKid1412