Popeye and Bluto have retired to a deserted island to get away from women interfering in their lives. After three years, their friendship is stronger than ever, but when Olive Oyl arrives by raft one day after being lost at sea, the men quickly abandon their friendship as they pursue her affections.
Popeye and Olive are at the rodeo, starring Badlands Bluto. Olive is impressed by Bluto's stunts, many of them designed to make Popeye look bad. Dynamite, the bronco that's never been ridden busts out and Popeye, seeing his chance, downs some spinach and manages an impressive series of tricks, culminating in firing a bullet at Bluto and lassoing it just in time. Bluto's had enough, and he substitutes loco weed for Popeye's spinach, then challenges him to throw the bull. Popeye's fried brain sees the bull as a beautiful woman; he tries to dance with it. The bull throws Popeye against the box where Bluto is now sitting and throws the remaining loco weed into Bluto's open mouth; he sees Olive as a bull and grabs her. He tries to brand her; her cries of help arouse Popeye, who pulls out a fresh can of spinach and goes to work.
The first Olympics, starring Hercules (looking, but not quite sounding, like a really pumped-up Bluto), who challenges anyone to do the same feats as him. Popeye takes that challenge, of course. First, they battle animals, with Bluto pulling the skins off two wild elephants and Popeye turning three lions into a nesting set. The discus throw doesn't go well, with Herc's disc swooping Popeye into Herc's hand. The javelin is even worse for Popeye, with Herc throwing him all the way to the moon. This gives him a chance to go after Olive in typical Bluto fashion; her cries of help reach Popeye, who prays to the Greek goddess Spinachia, who delivers a can of spinach to him.
Popeye and Olive are at the premiere of Popeye's new movie. He gets a little too wrapped up in the movie, interacting with it at various points, and even handing the screen version of himself a can of spinach. The movie itself is the story of Aladdin, minus the songs and about half the footage of Aladdin and His Wonderful Lamp (1939), the short it's cut from.