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 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, Olive Oyl and all other King Features comic strip characters are invited on a cruise hosted by Professor Grimsby, a man who hates laughter
Bluto is the boxing champ, Popeye his challenger, Wimpy the timekeeper. Popeye is pounded mercilessly until Olive comes by with a can of spinach.
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.
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.
Olive takes Popeye to Professor Bluteau to learn some manners.
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 Olive are taking a ferry run by Bluto. When they find out the fare, they decide, with Wimpy, to build a bridge. Bluto does what he can to sabotage this plan - until spinach time, of course.
Popeye applies for a lifeguard job when he sees Olive in the pool, but Bluto also wants the job (and Olive). The manager, Wimpy, asks them to demonstrate their skills in a contest. Popeye does well, until Bluto demonstrates lifesaving and first aid on him.
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 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 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.
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 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 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 gives Olive a parrot that he's trained. Bluto sets the bird free and then tries to kill it.
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.