Though it has since been restored (at least in the 1994 Hal Prince revival), Show Boat's overture featured "Mis'ry's Comin' Aroun'" as one of its main motifs though the song had been cut out of town.
Follies' opening features "That Old Piano Roll," a cut sung for Buddy, and "Can That Boy Foxtrot," Carlotta's original number that was replaced by "I'm Still Here."
"...everyone finally shut up, and the audience could enjoy the beginning of the Anatevka Pogram in peace."
David Yazbek's overtures are usually an original theme not found anywhere else in the show. Which I believe (correct me if I'm wrong) comes out of the opera tradition?
SomethingPeculiar said: "David Yazbek's overtures are usually an original theme not found anywhere else in the show. Which Ibelieve(correct me if I'm wrong) comes out of the opera tradition?"
Overture is one of the reasons why I love David Yazbek's works. But both Dirty Rotten Scoundrels and Toosie's overtures feature songs from the shows. The Full Monty seems to fit your description. I don't remember about Women on the Verge though.