It depends on the character, and on the situation. If I'm playing a tank, I might provoke an AoO so that a mage can move past or back out of melee and cast-- this is particularly true when fighting bigger creatures with Reach.
I was playing a kind of crazy TWF, fighitng grimlocks in an underground cavern. The fighting was going on at various elevations with most of the party in a large central cavern, with grimlocks attacking from caves along the wall. I was up in one of the caves and got surrounded. So I charged a grimlock at the mouth of the cave attempting to Bull Rush him off the ledge, but I didn't have IBR. He misses on his AoO and I bat him over the side to a 30' drop, where the party can hack him to pieces. While I'm on the ledge, another grimlock decides that looked like a good idea, so it attempts to bull rush me, but it doesn't have IBR either. It provokes, I roll a crit threat and confirm and cut it twain, the two halves of its body go flinging out of the cave in a shower of blood. As Napoleon said, "Give me a man who's lucky." (I've always called those "John Wayne Days" when you just can't help but win.)
Bull Rushing and Overrunning were tactics that character just sort of fell into. I never took the feats for it, but that game wound down around 7th level. If we'd kept with it I suppose I would have, but it just seemed like it would be less fun to actually have the feats.