I caught "The Fully Monty" again. It's a good movie, and not just because it's about full frontal male nudity. Although that's definitely a good thing.
I didn't notice the first time I saw the movie, but do they just do the one number? "You can leave your hat on"? That means the show they charged good money for was all of five minutes. I mean, maybe they did other numbers, but that doesn't seem likely since showing the full monty would surely be saved for the grand finale.
A quick google around the internets shows that there sure have been lots of productions of the Broadway musical of the movie: