I've definitely had some bugs while playing. Quite a few animation ones where its not enough to ruin the entire game but it does pull you out of a scene. Seeing my character walk like a gorilla was interesting. I've had a quest marker send me to a different area and then tell me to go straight back. Hearing all the other stories about bugs which aren't just animation based is a bit worrying. Not being able to complete quests, completed quests reappearing hours after you finished them, characters spawning in hours earlier in the game than they are supposed to with quest completion dialogue...
I expect I'll probably still enjoy it just because its Mass Effect but I think its terrible that the game was allowed to be released in this state.