I hate any game that claims to be an RPG, while simultaneously operating by rules that are inherently antithetical to role-playing.
FATE is the classic example. In order to play FATE, you need to engage with the meta-currency of fate points, or else you won't be able to sway the narrative when you need to. The rules encourage you to get in trouble early on; not because it's the smart thing to do, or even necessarily because it's what your character would realistically do, but because you want the fate points. You're supposed to make decisions on behalf of your character, by taking into consideration that this is a game which operates on principles that are unknown to the character. It's pure meta-gaming.
From what I recall, based on an earlier thread about Conan, the 2d20 system works on similar principles. The GM is supposed to actively antagonize you, and you're supposed to make decisions by accounting for a meta-currency which enables them to do so. You aren't allowed to actually think like your character at any point, or else DOOM will bury you.
I'm not even saying that I hate those games as games (although I still wouldn't play them under any circumstances). I just hate that they pretend to be about role-playing, while simultaneously undermining any sort of in-character decision making. It's highly disingenuous of them.