Since this thread was bumped recently, it deserves to be updated in terms of the OP's question about shows that use an overture. CINDERELLA right now has a traditional, dim-the-lights, cue-the-orchestra, old-fashioned overture and, if my memory serves, it's glorious. I can't wait to hear that on CD.
FINIAN'S RAINBOW a few years ago had a glorious overture, though coming from Encores! that's not a big surprise. As someone pointed out, PROMISES, PROMISES has a tremendous overture, and the recent revival made great use of it (even interpolating "I Say a Little Prayer" in a much better fashion than the revival itself did.) THE ADDAMS FAMILY had an overture on CD, though I never saw it so I can't speak to its presence in the production. Also, for everything (terrible) that follows, MAMMA MIA! does have an overture, and it's pretty great. By far the highlight of that (terrible) show, to me.
Words don't deserve that kind of malarkey. They're innocent, neutral, precise, standing for this, describing that, meaning the other, so if you look after them you can build bridges across incomprehension and chaos. But when they get their corners knocked off, they're no good anymore…I don't think writers are sacred, but words are. They deserve respect. If you get the right ones in the right order, you can nudge the world a little.