Story and Characters
World
Exploration
Fantasy/Sci-Fi Elements
Atmosphere/Vibe
Dungeon Design
Immersion
Development/Customization system
Choices that affect narrative
Enjoyable Minigames
Graphics/Art Direction
Voice acting quality (if there is voice acting)
Battle System
Music

Don't get me wrong, I love music, it just doesn't tend to impact my enjoyment of a game. Probably because I enjoy most music anyway.