How about some kind of contest:
A big game of 21, with one player from each team playing and with the tip-in-rule in full effect. If you're at 19, miss shot and it gets tipped in, back to 0! NO SOUP FOR YOU!
Or a big game of Horse. Send whatever player think gives your team the best chance. Team with the worst record shoots first.
Or use the Horse idea, but instead of you picking a player from your team to send, the other 13 lottery teams (or 29 teams if you do everybody) get to vote on which player will represent you. Just picture Shaq squaring off against Perkins, against Ben Wallace, against Dwight Howard in a game of Horse (no dunking allowed). Good times. Works well with any type of shooting contest. Plus it makes guys who can't shoot even more of a liability to their team, which in turn encourages fundamental basketball which makes for a better NBA. Everybody wins!
WWF Royal Rumble style? All 30 teams represented, teams with the 2 best records send guys to the ring first. Every 2 minutes after that another player enters with players entering in the order of their teams record, best record first. Last man standing wins. No guarantee tanking gets you anything, and everybody has a chance!
Just think if any of these were televised, and also think of how that would change rosters in the NBA. Make a rule that a player had to play at least 300 minutes or something like that to make sure guys wouldn't sign some Horse stud (NEEEEEIIIGGGGGHHHHH) and just hide him with the 15th roster spot.