Couple things.
a) could try talking to him. Get to know him enough to show that your intentions aren't to annoy and that you're actually trying to be considerate of your neighbors. The more he can match a person with a face/name/voice/whatever, the better. Along those lines, let him know that you don't appreciate involving the police in such trivial cases. It's a waste of their time and it's a waste of your time. At least get on the same page as far as what his expectations are. Contrast those with your own as well as with the manager's.
b) consider headphones for movies, x-box, etc. You can get some damn good boxes that will split the signal and give each their own volume control. This is a tad overboard, but really, bass is a KILLER in apartments. It takes very little volume and the neighbor(s) can literally feel the bass. At least consider dropping the bass a bit until you get into either a house or a place with sound dampening. (This is even assuming there's -any- bass )
c) Don't go the "more annoying" route. Unless you're a genius, it's just not a winnable situation, so it's pretty much futile to attempt.