Are you talking like something on a LAN setup, or a console-type split-screen gaming?
If it's LAN, any online multiplyer-friendly game (not MMORPGs', obviously) would do the trick - especially if you're talking about FPSs. That's a breeze. Far Cry, Q4, Half-Life 2, CS1.6/CS:S against bots, UT2004, Serious Sam2, etc., etc.
If it's split-screen, well, it's best to get an emultor of some sort, maybe a sports game or boardgame. I doubt you can find anything like that easily.
Anyhow, best of luck to you.