Barbarella

In an unspecified future, space adventurer Barbarella is sent by the Earth's president to retrieve Durand Durand from the Tau Ceti planetary system. Durand is the inventor of a laser-powered weapon, the positronic ray, which Earth's leaders fear will cause mass destruction. Barbarella crash-lands on Tau Ceti's 16th planet and is knocked unconscious by two children. They bring her to the wreckage of a spaceship, where they bind and attack her using mechanical dolls with razor-sharp teeth. Barbarella is rescued by Mark Hand, the Catchman who patrols the ice looking for errant children. Hand tells her that Durand is in the city of Sogo and offers her a ride to her ship in his ice boat. When Barbarella offers to repay him, Hand asks her to have sex with him. Barbarella is confused since Earthlings no longer have intimate physical contact; instead, they take pills "until full rapport is achieved." Hand suggests having sex in his bed instead. Barbarella relents and enjoys it but admits that she understands why sex is considered primitive and distracting on Earth.

Barbarella leaves the planet and crashes into a labyrinth inhabited by outcasts exiled from Sogo. She is found by Pygar, a blind angel who has lost the will to fly. Pygar introduces her to Professor Ping, who offers to repair her ship. Pygar flies Barbarella to Sogo, a den of violence and debauchery, after she restores his will to fly by having sex with him. Pygar and Barbarella are captured by Sogo's Black Queen and her concierge. The concierge describes the Mathmos living energy in liquid form, powered by evil thoughts and used as an energy source in Sogo, which sits atop it. Pygar endures a mock crucifixion and Barbarella is placed in a cage, where hundreds of birds prepare to attack her. She is rescued by Dildano, leader of the local underground, who joins in her pursuit of Durand. Dildano gives her an invisible key to the Black Queen's chamber of dreams, where she sleeps.

After returning to Sogo, Barbarella is promptly recaptured by the concierge. He places her in the "Exsexsive Machine" which induces fatal sexual pleasure. She outlasts the machine and makes it go haywire. The concierge, shocked at its destruction, reveals himself as Durand Durand. Barbarella is surprised since he is only 25 years old but has aged tremendously—a side effect of the Mathmos. Durand wants to overthrow the Black Queen and become Sogo's new leader, which requires using his positronic ray and gaining access to the Queen's chamber of dreams. Durand takes Barbarella to the chamber and locks her inside with the invisible key. She sees the Queen, who warns that if two people are in the chamber, the Mathmos will devour them. Durand seizes control of Sogo as Dildano and his rebels begin their attack on the city. The Black Queen retaliates by releasing the Mathmos to destroy Sogo. Because of Barbarella's innocence, the Mathmos form a protective bubble around her and the Black Queen and safely expels them. They find Pygar, who clutches them in his arms and flies off. When Barbarella asks Pygar why he saved a tyrant, he tells her that an angel has no memory of the past.