Yeah, the most common break I've encountered has been for the figure itself to come off of the black base. That's incredibly quick, cheap, and easy to fix (a couple of bucks worth of epoxy and you can fix them all in minutes). I picked up a huge batch of figures on eBay, still sealed in their packages, that were sold for $20 shipped because most/all of them had shipping damage (out of the 30+ figures included, only like 4 of them I couldn't fix).
The ones that are toughest to repair are the ones with a broken glass base like Ho-Oh, or ones like Meowth where the leg is commonly broken. Beyond that, these things are a breeze to fix.
It's why I wish they could include some sort of child-safe adhesive in each package, just in case it is to get broken...but that's not very feasible, as I said a while back (not only would that involve putting glue in the hands of kids, but it would also force them to acknowledge how easily these things break).