Superstone is obviously a parody of Superman, but what's not so obvious is that the actor who's playing Superstone has the first name of George. This is obviously a reference to George Reeves, the 1950s Superman.
The studio executive is called Sam and the movie director that Superstone mentions is Otto Pebblejar (Otto Preminger).
Fred: (to Barney) You and BammBamm can go see Superstone. Pebbles and I are gonna stay home.
Pebbles: Waaaaaaah Superstone.
Superstone: (his catchphrase) Bee-hee-hee-HAWW-HAWW!
This episode was recorded on 8-17-64.