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.
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.
Olive preaches the need for brotherly love on the radio. Popeye, hearing this, does a number of good deeds: helping two workmen raise a safe, straightening a wrecked car, and helping two boys sneak into a baseball game. But when he tries to break up a fight, it's more than he can handle alone. Olive and her followers come along and try to help, but it's too much for them, too. Of course, once Popeye has his spinach...
Popeye takes Swee'pea to the zoo and spends most of his time rescuing the tot from the various animals.
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.
Popeye drives up to take Olive for a ride, but Bluto in his much fancier car does what he can to spoil their jaunt.
Olive is moving out of her apartment; she's hired Bluto to move her things, but Popeye comes over to visit and won't be shown up.
Popeye is wooing Olive on the phone when Bluto comes over. He overhears, taps into the line, and impersonates Popeye. They proceed to have a high-wire fight on the telephone lines outside Olive's house.
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.
Popeye is leaving on his sailing ship, much to Olive's chagrin. She ends up accidentally stowing away in a trunk. Popeye discovers her, but she can't stay, because the crew will think she's a jinx. She tries to hide, but this only scares the crew more, because they think the ship's haunted. When she is revealed, the crew comes after her to throw her off, and then turns on captain Popeye.
Popeye is having a dream. In it, Bluto interupts his and Olive's flirtations with one another and keeps having the upper hand.
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 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 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.