Cheetahmen II
and the rest in no particular order...
Secret of Mana
Legend of Mana
Chrono Trigger
Chrono Cross
Radical Dreamers
Streetfighter II
Streetfighter III Third Strike (maybe some Ken/Alex, Elena, or Dudley stage music?)
Shadow of the Colossus
Final Fantasy VI, VII, VIII
Final Fantasy Tactics
Parasite Eve
Mario Kart: Double Dash! Rainbow Road theme
Zelda: Ocarina of Time
Zelda: A Link to the Past
Zelda: Link's Awakening
Ducktales
Earthbound