Cavett has been nominated for at least 10 Emmy Awards and has won three. In 1970, he co-hosted the Emmy Awards Show (from Carnegie Hall in New York) with Bill Cosby (from Century Plaza in Los Angeles). His most popular talk show was his ABC program, which ran from 1969 to 1974. From 1962 to 1992, The Tonight Show Starring Johnny Carson was arguably the most popular late night variety and talk show. Unlike many contemporary shows that attempted to compete with Carson in the same timeslot but were quickly cancelled, Cavett managed to remain on the air for five years.
On February 11, 1970, Cavett hosted a tribute to the life and works of Sir Noël Coward, who had just been knighted in December 1969. Along with Coward, the other guests were Alfred Lunt, Lynn Fontanne, and Tammy Grimes, and Brian Bedford (who were enjoying a successful run on Broadway in the revival of Coward's play, Private Lives). In reviewing the show for The New York Times, television critic Jack Gould said "The age of youth? Balder dash! The over‐70 set walked off yesterday morning with a television program that combined the engaging qualities of lightly recalled nostalgia, the sophisticated stiletto, and a demonstration of genuine affection that had more substance than adolescent wails on how love will save the world. Sir Noel Coward, Alfred Lunt and Lynn Fontanne, friends of a lifetime, met on Dick Cavett's show on the American Broadcasting Company network. They exchanged quips, pleasantries and thoughts about the theater with the beguiling charm of talented luminaries. Mr. Cavett was clearly overawed, and for once, the ad libs frequently went over his head. It was an enchanting show…and the badinage was warm and delightful ... a fun night, and to take out of context a line or here or there could not convey the whole. To go to bed with a chuckle provided by gifted and nice people, onstage as off, is review enough."