In the tradition of You Asked For It, Ripley's Believe It or Not! and Real People, the show featured people performing stunts and reenactments of allegedly paranormal events. The show also often featured people with unusual talents, such as speed-talker John Moschitta, Jr., who made his first national television appearance on the show, as well as scientific, medical, and technological breakthroughs such as the Taser and cryogenic corneal reshaping by lathe keratomileusis.
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. It debuted on March 3, 1980.
A number of the stunts performed were dangerous, including juggling knives, staying inside a small box for hours, and one involving a man supposedly catching a bullet between his teeth. 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.
The show has been cited as an influence on hip-hop culture in New Zealand, where much television programming in the 1980s was American. In 1983 the show featured several dancing crews, giving youth of Pacific Island and Maori heritage, many of whom were interested in hip-hop culture and dance, a sense of connectedness to global youth culture. In the early 1980s, Earl Woods brought his son Eldrick to "That's Incredible", showing his ability to putt a golfball into a hole from different areas. Eldrick grew up to be "Tiger" Woods.
