In my humble opinion, the coveted title of crappiest video game contenders are:
Captain Novolin - Main Theme:
I do realize that this whole game is vomit painted with crap and then shoved into a can, but the title music is both dissonant and cliched. Then again, it is a game about diabetic superheroes...
Zoop:
It's not so much quality as quantity. There's about 8 bars of simple tune that loop over...and over...and over. Although one could argue Tetris is like that, Russian folk tunes are catchy. Zoop...not so much.
I don't know if you'd count Donkey Kong (the arcade) as music, but that stupid sound was really annoying after a minute. Like Zoop, but shorter.
That's all I've got for now.