Five swindle stories, taking place in five international cities: Tokyo, Japan ("Fumiko's Five Benefactors" by Hiromichi Horikawa); Amsterdam, The Netherlands ("A River of Diamonds" by Roman Polanski); Naples, Italy ("The Road Map" by Ugo Gregoretti); Paris, France ("The Man Who Sold the Eiffel Tower" by Claude Chabrol); and Marrakesh, Morocco ("The Confidence Man" by Jean-Luc Godard). Godard's segment was not included in the original French cinema release, and Polanski's segment was not included on the 2016 home disc release.

The Fenouillards (Sophie Desmarets and Jean Richard are the parents, Annie Sinigalia and Marie-José Ruíz are the daughters) are shopkeepers with higher aspirations. The Monsieur wants to run for mayor of their town, but the family acknowledges he has little experience of the real world -- and so they all take off to experience it together. After starting out by getting lost, the family goes through an odyssey that takes them to Brazil, the Antarctic, and Japan in a series of episodic adventures.