Two sailors Sindbad and Popeye decide to test themselves in order to prove their supremacy. Popeye is then presented with a series of daunting tasks by Sindbad.
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'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.
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.
Bluto is the boxing champ, Popeye his challenger, Wimpy the timekeeper. Popeye is pounded mercilessly until Olive comes by with a can of spinach.
Pierre Bluto, running a logging camp, has thrown Olive into the river because he didn't like her spinach. Popeye rescues her and proceeds to beat Bluto in a lumberjack contest.
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.
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, Olive Oyl and all other King Features comic strip characters are invited on a cruise hosted by Professor Grimsby, a man who hates laughter
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.
Popeye and Olive Oyl visit a rodeo.
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.
Olive tells Popeye and Bluto that she loves a man in a uniform, so they try to sign up at the recruiting station - that can only take one of them.
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.