Jeff Van Gundy brought this up recently on a Sunday game, but it's been bugging me all year: the NBA really needs to figure out a fix to the following, fairly common situation.
The ball goes out of bounds off team A, but it's because team B has fouled. Refs have often dealt with this play by just giving the ball to team A instead of calling the foul, but the problem with that under the new system is that the replay gives the ball to team B. The obvious answer is to have the refs call the foul, but what would be better is to give them the leeway to look at the replay and confirm the initial call, meaning if it was a foul that caused the ball to go off team A, team A should be allowed to keep the ball. This easily could flip the outcome of a big game or two this year, it almost just turned the POR/OKC game (though I'm not sure if Batum fouled Durant or not on the play in question).