There are alot of games with excellent music, music where you just love to listen to all the time. My favorite games with great music are:
Golden Sun/Golden Sun: The Lost Age(thank God this game has a Sound Test, the music is unbelieveable, you have to listen to it, to understand)
Chrono Trigger(this sound track is excellent, i love the boss themes, Zeal theme, the final dungeon, forgot the name, were all good)
Metriod Prime(Phendrana Drifts just pwned)
MegaMan Network Transmission(the game sucked, but the music was outstanding)
MegaMan 2(great classic songs, i love them all)
MegaMan 3(all of them, just all of them)
MegaMan 7(JunkMan, TurboMan and Wily's stages were good)
MegaMan X2(Boss themes, Agile's stage, all great)
MegaMan X5(Zero's stages had great music)
BomberMan 64: The Second Attack(such an underrated game, but it was awesome, with outstanding music, Aquanet and Thantos was great)
Yu-Gi-Oh!: The Falsebound Kingdom(the field and battle themes are great, excellent game too)
Pokemon Colosseum(yeah, the game isn't that great and Pokemon is losing it's edge, but this game has such sweet music, music you wouldn't believe for a Pokemon game, kinda makes me want to replay it again despite i lost my data...)
So what games do you love that has just excellent music? You can also include favorite sound tracks from the game that you like. They could also make good Sonic Radio ideas. Just don't include any Sonic games.