The Fat Spy (1966)
Rival cosmetic companies search for Fountain of Youth on an island where teens are holding a scavenger hunt.
1) Beach Party ripoff set in Florida.
2) Jayne Mansfield, Phyllis Diller and Brian Donlevy.
3) Musical numbers by Phyllis Diller and Jayne Mansfield.
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Melllvar commented
Correction: Diller is serenaded in this film. She doesn't get to sing...which would be another point in its favor.