See also:
Best VGM 458 - http://www.youtube.com/watch?v=DbQdgOVOjSU
Best VGM 598 - http://www.youtube.com/watch?v=prc_7w9i_0Q
Best VGM 686 - http://www.youtube.com/watch?v=MthR2dXqWHI
Best VGM 790 - http://www.youtube.com/watch?v=lPFndohdCuI
Best VGM 957 - http://www.youtube.com/watch?v=ytp_EVRf8_I
"A Journey in Music" - http://www.youtube.com/watch?v=uBIqG5kme1U

A collection of my favorite videogame music. Note that most of them are from games I played so I might miss some great ones from games I never played.

SNES
Super Mario RPG (1996)
Fight Against a Somewhat Stronger Monster
Yoko Shimomura