Gilligan's Island S2 Ep 29 - Body Swaps

Season 2 Episode 29 The Friendly Physician
Gilligan and Mr. Howell are swapped for each others' bodies as are the Skipper and Mrs. Howell and the Professor with Mary Ann. However, behind Balinkoff's back, Igor swaps bodies with Ginger, and she uses his incredible strength to free the others. The Professor restores everyone's true identities, but by now, Balinkoff shows back up and realizes what has happened. The Skipper jumps Balinkoff and holds him as the Professor restores Ginger to normal. The castaways then trap Balinkoff and Igor in the machine as Gilligan puckishly flips the switch. As they're leaving, Balinkoff as the cat leads Igor as the dog out of the castle while Dog-Igor chases Cat-Balinkoff through the house.