I shy away from games that involve heavy elements of simulation. Not because I dislike a realistic world, but because heavy simulationism really just creates a different, more cumbersome form of gamism that I do not particularly enjoy.
I also hate looking things up on charts. I'll do it if the payoff is really, really good, but mostly I hate it.
I also am incapable of experiencing gambler's thrill. This is a more subtle problem, but basically if your combat system takes a while to resolve things but doesn't actually involve tactical decision making, I grow bored and resentful. Other people will crowd around the dice and wait for the high roll or the critical failure and cheer or moan and be entertained all the while. I can't do that. Its not just that I don't like to, I mean I actually can't enjoy watching a random number generator at work just for the sake of the surprise factor and the thrill of risking it all on the toss of a die. I can't do it. There has to be some game built into combat, whether it be the tactical game of later edition D&D, the storytelling game of a game like Feng Shui, or whatever. Alternately combat has to happen quickly and go away before I get angry at it, like in a game like Faery Tale.