Builder's Block. Not sure if the 3d mode is 2p but the arcade port definitely has a 2p mode because I play it regularly. Amazing puzzle game that Puzzle Bobble / Bust A Move fans would likely enjoy.
Bust a Move is instant fun for all, just let the wife win every so often!
Wip3out, Rollcage, crash bash, driver 2, Tekken series, metal slug x, micro machines, twisted metal, vigilante 8, worms, Gran Turismo, Tony hawk pro skater
Back then there was no online multi so most of the games had local 2 player mode of some kind.