I'm really hooked on several of the anime InuYasha theme songs:

Change the World (V6)
My will (dream)
Fukai mori (a.k.a. Deep Forest) (Do As Infinity)
No more words (Ayumi Hamasaki)
Dearest (Ayumi Hamasaki)
Yura Yura (a.k.a. Rock) (Every Little Thing)
Grip! (Every Little Thing)
Itazura na Kiss (a.k.a. Mischievous Kiss) (day after tomorrow )
Every Heart (BoA)
Ai no Uta (a.k.a. Song of Love) (Every Little Thing)
One Day, One Dream (Tackey & Tsubasa)