An anthropologist who is part of an arctic exploration team discovers the body of a prehistoric man who is still alive. He must then decide what to do with the prehistoric man and he finds himself defending the creature from those that want to dissect it in the name of science.

The Apollo 3 crew are training when it is discovered that the Russians plan a moon landing. The Americans enact a makeshift plan to land a man on the moon first, using an older style Gemini spacecraft. Lee is chosen as the astronaut instead of Chiz, who was trained for the mission, because Lee has no military connection. Lee has three weeks to train before take-off, and will have to stay on the moon in a shelter for about a year, until an Apollo is ready to pick him up. However the Russians take off two days earlier than expected.

The Americans and the Russians each have a two-person base on the moon. The Americans have had to keep replacing their astronaut teams because they quickly go crazy; they have been using only male astronauts on the unspoken assumption that this would avoid any possibility of impropriety. The Russians, as godless Communists, are under no such constraints, and their male-female team has remained well-adjusted. At the start of the film, a male and female American astronaut team is sent up to replace the sex-starved all-male team. The government insists on them being married first to preserve morality. Most of the story revolves around the eventual consummation of this marriage of convenience, and around their relationship with their Russian neighbors, who keep casually dropping by.

Dr. Goldfoot plans on taking over the world with his beautiful female robots, who seduce rich and powerful men. Robot #11/Diane is sent after millionaire Todd Armstrong. Secret agent Craig Gamble tries to stop the plot but ends up in the torture chamber with Armstrong. The parody of "The Pit and the Pendulium" is the highlight of the film which also includes bits by Annette Funicello, Harvey Lembeck and Deborah Walley.

In Colorado, 900 years after a nuclear war in the USA, the mankind is back to the stone ages. Amazons are ruling the tribes, the men are dumb, either kept as slaves and couplers or are living wild as animals. Only Korvis and a friend are intelligent enough to flee and found a tribe of their own. Will they manage to teach the women love to men again?