Only when the acction is really intense and the music is really loud, have I ever gotten "sick," and that was only a bit of a headache. But I'm also only 15 and have been playing games since I was 7, so Idk if that has anything to do with it.
Rainbow 6, the first one, when it was released on PS One, the frame rate/graphics combo made me sick to my stomach. I had to stop playing it after five minutes. No other game has bothered me since.