Just wanted to put it out there, its probably been done so many times before though. Prodigy remixing them that is not the other way round.

KLF
Nine inch Nails (early stuff)
Rage Against the Machine
Beastie Boys
Gary Numan
Eminem

The next ones is my gfs kind of bands but is still reckon a good fast remix would be good with noise bands like these

Agoraphobic Nosebleed
Converge
Das Oath