Yes, mostly MMO's and some very select choices like Minecraft (living on the edge I know)!
The one and only time I've ever turned a games music off completely because I thought it was horrid, was for half of Yu-Gi-Oh: Duelist of the Roses. I'll wear my guilt with pride for this one, because I thought it was a really awesome game, but the music for the White Rose campaign was diabolically terrible, and this was before I had an iPod!
I mean, it just wasn't suspenseful at all! Add as well that the White Rose campaign was completely linear, especially after considering the fact that I'd played the Red Rose campaign first and that had multiple paths and battles to face.
When I think about it, it dragged the entire half of that game down.