The Flintstones - Season 6 Episode 3
The Return of Stony Curtis

Through a publicity contest, Wilma and Betty win movie star Stoney Curtis (voiced by Tony Curtis) as a ""slave boy"" for a day. Jealous Fred works him unmercifully, until Stoney offers him a job as his stand-in for a new movie. Fred quits his job and prepares for life as a star, which, of course, is not all it is cracked up to be.