The Muppet Revue was released on VHS in 1985 by Playhouse Video, as part of a series of compilations featuring songs and sketches from The Muppet Show. It also contains new framing material featuring Kermit and Fozzie (with appearances by Animal, Gaffer, one of The Muppaphone, a Prairie Dog, and a lobster; Richard Hunt performs the Muppaphone, lobster, and prairie dog). Among the clips included are appearances by guest stars Harry Belafonte, Rita Moreno, Linda Ronstadt, and Paul Williams.
When it was released in the UK by Virgin Videos in 1984, it was re-titled as Kermit and Fozzie's Favourites. It is the same release except for the title. This is the only one in the series that had a title changed. In the Australian market, the cover box art called it Best The Muppet Show Vol. 1 but the film remained the same as The Muppet Revue.