Ahhhhh. Remember Arch Rivals? The old arcade and NES classic that featured two man teams going at each other with jump shots and right hooks.
You could be:
You could play for Chicago, Los Angeles, New York or Denver. Or how about Natural High and Brawl State?
Others tried but failed (including Bill Laimbeer's Combat Basketball, pictured below). Arch Rivals had everything you wanted in a quick, B.S. style hoops game.