It's a well known fact that some games had "cover versions" of famous songs as a part of the soundtrack. Here are some of the most notable ones.
Doom: E1M1: At Doom's Gate
Metallica - Master of Puppets
Doom II: M1: Running from Evil
Megadeth - Hangar 18
Duke Nukem 2: E1M1
Megadeath - Angry Again
Duke Nukem 3D
Lee Jackson - Grabbag