A 1996 music video called Attitude by Sepultura featuring the Gracie family. Interesting seeing MMA referenced in pop culture back then. The UFC was also featured in a 1995 movie called Virtuosity, so I'll see if I can find that clip.

By the way, I don't care about or know much about music.

Edit: Oh yeah, the UFC was also in The Cable Guy. A brief clip of Paul Varelans vs. Cal Worsham can be seen when Jim Carrey flips through the channels at one point.