In 1964, the United Nations (UN) has launched a rocket flight to the Moon. A multi-national group of astronauts in the UN spacecraft land on the Moon, believing themselves to be the first lunar explorers. They discover a British Union Jack on the surface and a note naming Katherine Callender, claiming the Moon for Queen Victoria. Attempting to trace Callender, UN authorities find she has died, but find her husband Arnold Bedford now an old man in an old people's home. The nursing home staff do not let him watch television reports of the expedition because, according to the matron, it "excites him", dismissing his claims to have been on the Moon as insane delusion. The UN representatives question him about the Moon and he tells them his story. The rest of the film, as a flashback, shows what Bedford and Professor Cavor did in the 1890s.
Professor Calculus on (B&W) TV broadcasts an appeal to help end world hunger. He receives many letters and parcels and among them a blue orange which can grow in desert conditions (and glows in the dark) from Professor Zalamea, but no letter of explanation. That night, two thieves break into Marlinspike Hall and steal the blue orange. With no other choice, Calculus with Tintin, the Captain and Snowy go to Valencia (filmed in Burjassot, in Simat de la Valldigna at the Monastery of Santa María de la Valldigna, Gandia and Xàtiva).
Six children are identified by a team of UNESCO researchers investigating child development. The children have extraordinary powers of intellect and are all able to complete a difficult brick puzzle in exactly the same amount of time.
A newlywed deputy, Martin Gordon (Vic Savage), encounters an alien spacecraft that has crash landed in fictional Angel County in California. A large, hairy, slug-like, omnivorous monster emerges from the side of an impacted spaceship. A second one, still tethered inside, kills a forest ranger and the sheriff (Byrd Holland) when they independently enter the craft to investigate.
A wealthy, over-the-hill actress named Laura Winters (Rita Morely) hires pilot Grant Murdoch (Byron Sanders) to fly her and her assistant Jan Letterman (Barbara Wilkin) to Provincetown, but a storm forces them to land on a small island. They soon meet Prof. Peter Bartell (Martin Kosleck) a marine biologist with a German accent who is living in seclusion on the isle.
Hollywood writer Charlie Sorrel (Harry Madden) is shot and killed by Hungarian film producer Sir Leopold Sartori (Walter Matthau) when he is caught fooling around with Sartori's wife. Later, passerby Bruce Minton III (Pat Boone) comes to the aid of a dazed woman (Debbie Reynolds) wandering on a beach. She doesn't remember much other than directions to Charlie's residence.
At a small East Coast beach town, a boat dumps radioactive toxic waste into the ocean, which lands on a sunken ship and the skeletons of shipwrecked dead sailors. The skeletons and water plants are mutated by the waste, transforming into half-human, half-fish monsters that makes their way to the surface.
Teen aged Martian intelligence officer 006, named Gogo (Tommy Kirk), is sent to Earth wearing an usher's uniform to prepare the way for a Martian invasion. The first earthling he meets, Aunt Wendy (Elsa Lanchester), is an eccentric widow who runs a dress shop. She has Gogo, now calling himself George, get dressed in a swimsuit and sends him to the beach. There he meets her nephew, Big Lunk (Jody McCrea), who enjoys volleyball but has little interest in romance, which is frustrating for his girlfriend Connie (Annette Funicello).
Commander Christopher "Kit" Draper (Paul Mantee) and Colonel Dan McReady (Adam West) reach the Red Planet in their spaceship, Mars Gravity Probe 1. They are forced to use up their remaining fuel in order to avoid an imminent collision with a large orbiting meteoroid; they descend in their one-man lifeboat pods, becoming the first humans on Mars.
Rescued from the Colorado River as an infant and raised by Shamus Tobin, tomboy Molly Brown is determined to find a wealthy man to marry. She journeys to Leadville, Colorado and is hired as a saloon singer by Christmas Morgan. After miner Johnny Brown renovates his cabin, the two wed, and he sells his claim in a silver mine for $300,000. Soon after the money Molly hid in the stove accidentally is burned, Johnny discovers the richest gold vein in state history.
The story begins September 1941 just before the attack on Pearl Harbor. Shy bookkeeper Henry Limpet loves fish with a passion. When his friend George Stickle enlists in the United States Navy, Limpet attempts to enlist as well, but is rejected. Feeling downcast, he wanders down to a pier near Coney Island and accidentally falls into the water. Inexplicably, he finds he has turned into a fish. Since he never resurfaces, his wife, Bessie, and George assume he has drowned.
The plot involves an alien, Sterilox, from the "Buttless" galaxy being sent to Earth in order to find the perfect woman who will be used to create a race of servants. Sterilox is teleported into the lab of a mad scientist by the name of Dr. Breedlove, who offers Sterilox a number of beautiful women to choose from. The highlight of the movie involves a dance number where three of Breedlove's women gyrate to rock music.