Many.
Here's a few (overtures jazzy in whole or in part):
every Gershwin musical
SHOW BOAT
THREEPENNY OPERA
PAL JOEY
ST. LOUIS WOMAN
FUNNY GIRL
SWEET CHARITY
LITTLE ME
HALLELUJAH, BABY
PROMISES, PROMISES
CITY OF ANGELS (prologue)
MERRILY WE ROLL ALONG
PAJAMA GAME
A FUNNY THING HAPPENED ON THE WAY TO THE FORUM
FLORA THE RED MENACE at least the "Entr'acte" that's on the cast album.
THE FULL MONTY has a great jazz overture. It sounds like it should be a late-night show theme. Every time it reaches its climax, I think of the side-man's voice saying something like "And here's your host- JAAAANE LYNNNNCCCHHH!!"
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