Well, I've only played the PS3 version, but I haven't seen anything major or game-breaking as far as glitches go. The only things I've seen are when the characters following my main get stuck in a jump animation for a bit, and also where some of the enemies don't seem to know where they want to go, and just run around in circles for a while.Both those things can be easily fixed when you move your character to a different area.
I did find a video that demonstrated some glitches found in the game. I haven't seen this happen in my game though:
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