Grand Theft Auto (GTA: Vice City; GTA: San Andreas.)
Medal of Honor: Heroes
America's Army or Tom Clancy’s Rainbow Six (Can't quite remenber which one I've played. I've just played an old Demo. But it sure had crazy glitches...)
Turok (T: Dinosaur Hunter; T2: Seeds of Evil; T3: Shadow of Oblivion.)
GunZ: The Duel
And many more...
If you know some good FPS games, post below. Besides, they don't need to be exactly as it says on my list. Oh, and here's a list if you're indecised in choosing a FPS/TPS game too: Free Shooters
(I've taken a look over some of those FPS/TPS games but I need some personal help other than looking and downloading each one of those.)