Counter-Strike, Counter-Strike: Source, Counter-Strike: Global Offensive
Unreal Gold, Unreal Tournament, Unreal Tournament 2004, Unreal Tournament III (3)
Quake, Quake 2, Quake 3, Quake 4
Call of Duty and it's expansion pack Call of Duty: United Offensive, Call of Duty 2, Call of Duty 4: Modern Warfare, Call of Duty: World at War
Red Orchestra: Osfront 41-45, Red Orchestra 2: Heroes if Stalingrad
Those are all of the video games I think are good for FPS on PC.
Call of Duty: Modern Warfare 2, Call of Duty: Black Ops, Call of Duty: Modern Warfare 3, and Call of Duty: Black Ops II I consider broken on PC due to matchmaking and lack of dedicated servers ( Call of Duty: Black Ops II runs on dedicated servers on PC but lacks a server browser list and has matchmaking running on top of the dedicated servers) and a server browser list which is a must on PC for good online multiplayer play.
I consider Counter-Strike and Counter-Strike: Global Offensive the 2 best versions of the Counter-Strike video games.