Beautiful Dreamers looks at improbable events that never actually happened. The episodes feature interviews with the protagonists, their colleagues and their critics, as well as "documentary" clips sounding like footage captured at the time.

Within the series, the stories include the creator of the first animal orchestra; a billionaire who will free-fall from space; an ex-con and New York junkie who has become famous for a death-defying bridge jump; the first swimmer of the River Europe; the modern Jonahs who are regularly swallowed by whales; and a Uruguayan footballer who has made an emphatic attempt to stamp out corruption in the game.