Twisted Metal 4 had great music. I junior high I ripped the tracks and burned a copy so that I could listen to the soundtrack on my way to school. I recently looked up the soundtrack on YouTube and discovered several of the songs included in the game as instrumentals actually had vocals, and some of them were edited in other ways to better suit the theme of the game. I've found the original versions are better, and some of the artists have great catalogs.
Cirrus - Time is Running Out
One Minute Silence - And Some Ya Lose
One Minute Silence - A More Violent Approach
Ghoulspoon - Alien Magnet
Tony Hawk's Pro Skater always had good music, but the best song in the series is definitely this one:
Three Inches of Blood - Deadly Sinners
And I can't leave out the best song to ever be included in a video game:
Bula Matari - Taxi Drivers