Akuji the Heartless on PS1
A strange action game with some voodoo stuff. Can't remember much about it, but it creeped me out as a kid.
Team Buddies on PS1
This might be one of my all time favourite local multiplayer game. Played it couple years back and it's still fun.
G-Darius on PS1
Awesome shoot em-up with a lot of different bosses. Not sure how popular this was in US, but i remember not hearing anything about it in EU.
Bugs Bunny & Taz: Time Busters on PS1
Played ALOT of this with my sister. Really fun co-op game, with the now standard you must work together, but can also mess up each other and fool around.
Mace Griffin Bounty Hunter on Xbox
First-person shooter with some space combat thrown in. I remember it being solid.
Sorry about the format and not putting any pretty pictures, but it is kind of hard to do on the mobile site.