Oh geez this is tough, 'cause there are so many that I hate XD (Not saying I basically hate all game music, just that some get annoying because they're so repetitive) Well I can give you ONE of them: The music for Never Never Land in KH: BBS God I hate that SO MUCH. >>
I don't really find any videogame music annoying when i think about it...I LOVE 8-bit music but the dungeon theme from the original zelda can be a bit annoying...only a bit...just a bit