I've been playing more N64 games recently and the first THPS game has been the game I've played the most. I found the soundtrack for this game on a video game soundtrack site. And not just the normal version, the version from the N64 version of the game, with the compressed quality and cut up versions of the songs. I tried my best to order the songs as they are ordered in game. It also included the menu music from the game which I didn't expect. Anyway, enjoy!
0:00 Brian Bright - Menu
1:19 Goldfinger - Superman
3:28 Unsane - Commited
5:39 Primus - Jerry Was A Race Car Driver
7:49 Speedealer - Screamer/Nothing To Me
9:59 Suicidal Tendencies - Cyco Vision
12:09 Dead Kennedys - Police Truck
14:19 The Ernies - Here And Now
16:29 The Suicide Machines - New Girl