Vehicle versus vehicle arena combat was a huge genre on the PlayStation, especially with some behind-the-scenes drama. Developers who worked on Twisted Metal went on to develop Rogue Trip.
Master List
Critical Depth
Cybersled
Eliminator
Rogue Trip: Vacation 2012
Star Wars Demolition
Twisted Metal
Twisted Metal 2
Twisted Metal III
Twisted Metal 4
Twisted Metal: Small Brawl
Vigilante 8
Vigilante 8: 2nd Offense
Cover Gallery
Please use the above links to check out a specific game.