That's Incredible! was a reality television show that ran on the ABC television network from 1980 to 1984. In the tradition of Ripley's Believe It or Not! and Real People, the show featured people performing stunts and reenactments of allegedly paranormal events. The show was co-hosted by John Davidson, Fran Tarkenton and Cathy Lee Crosby, and was produced by Alan Landsburg Productions. Originally aired as an hour-long program, episodes were later re-edited into 30 minute segments for syndication.

That's Incredible! was revived in 1988, hosted by Davidson, Cristina Ferrare, and Tracey Gold and was renamed Incredible Sunday. It lasted only during the 1988–1989 season.

A number of the stunts performed were quite dangerous, including juggling knives, staying inside a small box for hours, and one involving a man catching a bullet between his teeth (at least seven people have lost their lives attempting that stunt). The dangerous nature of these stunts eventually prompted producers to augment the footage with the caption "Do Not Try This Yourself". Steve Baker also known as "Mr. Escape", was frequently featured on the show.

Following in the footsteps of "Real People" (1979), this show took a look at the more unusual sides of nature, medicine and human endeavor. Segments ranged from the uplifting (young people overcoming severe handicaps to lead normal lives) to the unexplainable (a park ranger who had been hit by lightning over 7 times) to the simply stupid (a stuntman jumping a motorcycle over the spinning rotors of 3 helicopters). Popularized the phrase "don't try this at home." Written by Jean-Marc Rocher