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.
Olive is reading a romance novel and munching on a gift box of candy from Bluto when Popeye drops by. She's too absorbed to notice him, so he feigns illness. The doctors are at a loss for a cure.
In Judge Wimpy's courtroom, Bluto accuses Popeye of assault and battery; he claims to have been attacked by him on several occasions, without provocation. Popeye then tells his side.
Popeye and Bluto are, believe it or not, pals and partners in a moving company. (Maybe it's because Popeye isn't squinting here.) Anyhow, Olive has made the mistake of hiring them. She hasn't finished packing yet, so the boys, smitten as soon as she answers the door, compete to help her. Once packed, they compete to move more impressive piles of her belongings. Popeye easily wins these contests, even though Bluto locks him in the van at one point. At the end, Bluto socks Popeye into the piano, then into a table; though he hardly seems to need it, Popeye still eats his spinach, then thrashes Bluto.
When Popeye takes the baby for a walk in the stroller, the little one won't be quiet unless he's sleeping. Of course there's no end of noisiness.
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 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 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.
Olive asks Popeye to walk her dog Fluffy, but Popeye is embarrassed because Fluffy is as weak looking as the name implies. Sure enough, when Bluto and his bulldog come by, the dogs (and their owners) get in a fight.
Popeye and Olive are grooving to the sounds of Wimpy the organ grinder, but their neighbor Bluto wants him to move on. Popeye and Bluto settle their disagreement in their usual fashion.
Popeye gives Olive a parrot that he's trained. Bluto sets the bird free and then tries to kill it.
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.
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.
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 sails to Goon Island in search of his Pappy. He finds the place populated by the imposing, but ugly, goons, and a "no humans" sign. His imprisoned pappy at first ignores him, but when Popeye is caught by the goons and carried off, his can of spinach lands near Pappy and it works just as well on him as it does on Popeye.
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.
Wimpy is working for Bluto in his diner and trying to filch all the food he can eat. Popeye comes in and orders roast duck, but Wimpy grabs the drumsticks, then coats it with pepper sauce. Popeye walks out in anger and Bluto comes after him. Wimpy takes advantage of the resulting battle to load up on hamburgers.
Popeye teaches Olive the art of self-defense, which comes in handy when a woman boxer flirts with him.
Popeye is running a women's gymnasium next door to Bluto's cabaret. Seeing Popeye's greater success with women, Bluto dresses in drag and challenges Popeye to various feats of strength.