I have gotten kinda dizzy playing some games, but only for a few seconds. I take the time to look away for a second and I'm fine. Rarely happens. Playing GTA, I was at the casino looking for the $10000 bet video poker machine (which stupidly moves around randomly so you always have to go searching for it, and its almost always the last one you check), and constantly checking each machine gets kinda dizzying since you're going from movement to still to movement, but that's about it.
I do remember when I got Turok for the first time that my friend couldn't even look at the screen.