Really didn't like it
Finally got round to watching this and felt fairly disappointed. It looked great and both De Niro and Pesci give great performances, but the story and characters just left me cold and uninterested.
La Motta was such an unsympathetic bag of *beep* I really didn't care what happened to him and couldn't feel even engaged in his story. He's essentially just a thug, and not even interesting in a flawed/troubled/tragic way, he's just an asshat.
That said, the fight scenes were very well done and could easily have been real footage.
I'd be interested to hear the arguments for this being the classic its often held up to be.