After wrecking Popeye's ship and stealing away Olive Oyl, hero of Arabic legend Sindbad decides to test him and his ever-resilient new rival's strength in order to prove their supremacy as the "most remarkable, extraordinary fella" of Sindbad's menagerie island.
Popeye the Sailor, accompanied by Olive Oyl and Wimpy, is dispatched to stop the dreaded bandit Abu Hassan and his force of forty thieves.
Popeye and Olive, adrift on a raft, land on what apparently is Africa, and are immediately battling elephants and gorillas (also a moose!). Popeye eventually battles an entire menagerie at once - after first gulping down a can of spinach, of course.
Popeye skates over to Olive's house to give her a Christmas present: ice skates of her own. While he's teaching her, Bluto skates up and gets fresh; of course, Popeye fights him. When Olive rejects Bluto again, he sends her careening on an ice floe towards a waterfall.
It's the middle ages (sort of); Popeye is working in Bluto's Beanery. Bluto is going to the ball where Princess Olive will choose her mate. Popeye's fairy godpappy appears and it's a reverse Cinderella story, with a car created from a can of spinach.
Popeye is heading over to see Olive when he hits a traffic island where a cop is directing traffic; when he gets there, he manages to get more tickets for blowing his horn and parking illegally. The cop rings the bell, and Popeye manages to wreck Olive's apartment by dropping what he's doing, each time he writes a ticket.
Big Chief Ugh-Amugh-Ugh is looking for a squaw. Meanwhile, Popeye and Olive are wrestling with their recalcitrant mule and Olive accidentally lands in the Indian camp. Popeye catches up to her. There's an unfair fight, and Popeye is about to be burned at the stake. He drops his spinach, but it cooks and pops into his mouth.
Popeye and Bluto pick up Olive to celebrate New Year's Eve with them. Popeye brings along her granny out of sympathy.
When Olive Oyl's house burns down, firefighters Popeye and Wimpy decide to build her a new house.
Olive has a small leak in a pipe; she makes the mistake of calling Wimpy to fix it, and the even bigger mistake of asking Popeye to help her do something until Wimpy can arrive. Meanwhile, Wimpy keeps realizing he's forgotten his tools, his gloves, etc. and going back. Popeye finally eats his spinach and manages some fixes to the system.
Olive takes Popeye to Professor Bluteau to learn some manners.
Popeye visits the bullfight only because of lovely Senorita Olive. He finds himself accidentally in the toreador box, even though he doesn't want to fight because it's cruelty to animals. Popeye rides the bull like a bronco, then gets tossed around a bit. The bull plants Popeye in the ground and attacks; the crowd turns on Popeye. Olive comes down to help and the bull chases her. The crowd throws vegetables at Popeye, including (fortunately) spinach.
Popeye is having a dream. In it, Bluto interupts his and Olive's flirtations with one another and keeps having the upper hand.
Popeye and Bluto stop by to see Olive and fix her leaky faucet. Popeye does it better, and Bluto gets jealous, so he starts rerouting Olive's plumbing and causing all sorts of leaks.
Popeye's ensemble is rehearsing the opening of the Poet and Peasant Overture (with interpolations of the Popeye theme and "I've Been Working on the Railroad"). Maestro Bluto drops in from next door to conduct and play violin and show Popeye up. Popeye plays horribly until he unlocks the previously unexplored artistic benefits of spinach.
Bluto dirties all of an office building's windows himself, to drum up business for his window cleaning service. When he gets to Olive's stenographer office, about ten floors up, she says no: Popeye's going to wash her windows. And the battle with Popeye is on.
Popeye takes Olive roller skating in a rink. She's never skated before, so he has to teach her, and she's not a quick learner. Before long Olive ends up outside the rink, rolling wildly out of control.
Popeye and Olive Oyl visit a rodeo.
Popeye, Olive Oyl and more King Features Syndicate comic strip characters are invited on a cruise hosted by Professor Grimsby, a mad scientist who wants to eliminate laughter from the world. When the ship is held hostage on his island lair, it's up to the much more action-inclined Mandrake the Magician, Steve Canyon, and Flash Gordon (among others) to save the funnymakers from their eternal inprisonment.
Popeye gives Olive a parrot that he's trained. Bluto sets the bird free and then tries to kill it.