The majority of FPSs make me queasy, some immediately (after a few minutes), others I can play for about 30 to 60 minutes until I (would) have to puke.
Some I can play with no problems whatsoever.
One really weird fact is that although Half-Life makes me puke its mod Counter-Strike never did.
Some examples for games that make me ill in a few minutes:
Rise of the Triad, Unreal Tournament series, Half-Life 1&2
FPSs I can play for 30-60 minutes before I get ill:
Wolfenstein 3D, Doom 1&2, Bioshock
FPSs I can sometimes play with no problems while on other days I get queasy after a while:
Duke Nukem 3D, Halo series, Quake III Arena
First person games I can play with no problems at all (and thus enjoyed a lot):
Quake, GoldenEye 64, Unreal 1&2, Counter-Strike, Metroid Prime, Far Cry, Racing games