I know everyone's gonna disagree with me here, but I don't like games such as GTA or Saints Row. Not one bit. Nothing in particular turns me off these sorts of games, but overall they just feel... Off.
I'm really not a fan of these sort of games. I hate playing as those types of characters, I won't even play renegade in Mass Effect. Playing as a vigilante such as is being shown in Watch Dogs isn't so bad, but playing as the scum of humanity just turns me off. Same with Saints Row, no matter how ridiculous it is I don't find it fun.