I had several over the years, always resolved quickly, and to my satisfaction, except one.
I once rented a Jeep from a guy that had a great scam going. He had a small fleet of matching yellow Wranglers that he rented by the day, for off-roading in SW Colorado. I have done this many times, before dealing with this guy, but the whole deal felt squirrelly from the start. His scam was great. He inspected the shit out of the thing, after you returned, and climbed over and under every inch of it. He then said everything looked fine, and off I went. He would wait until he knew you were long gone, and file a claim for body damage. It was pretty smart. If he had a unit roll in with a bit of a dent, he would hammer that driver's wallet, then take a shot at a few other recent renters, complete with lots of good evidence.
His first move, after he knew that I was in Nevada, was to contact my insurance agent. My idiot of an agent then opened a claim, without even bothering to call me! I had to threaten to contact the state insurance commissioner to get them to close the damn thing. At the same time he filed with my Visa card. These idiots were even better. Their fraud department just didn't care. They had the attitude that this was just the cost of doing business. "don't worry we'll pay it, and it won't effect you at all". In the end I woke them up by asking if the wanted to be listed as a co-defendant on the sheriff's fraud investigation? That got their attention, and they notified Jeep boy that his claim was on hold, pending a report from local law enforcement. I finally got the guy on the phone and broke the news that I would be back for a personal visit, next summer, and it might be a bit unpleasant. I guess he wore his welcome out, since he was gone before our reunion.