If you only know Kermit and the rest of the Muppets from their appearances on Sesame Street or feature length films like The Muppet Movie and Muppets in Space (among others), you need to check out episodes of The Muppet Show!
Jim Henson's The Muppet Show was the Muppets' variety show which aired in the late 70's and early 80's. Each show had a celebrity guest, including Elton John, Julie Andrews, and Mark Hamill (he played Luke Skywalker in Star Wars). The variety show itself includes wacky musical numbers and skits, but we also get to see all the crazy backstage antics. Poor Kermit has a hard time of it being M.C. and stage manager for this wild bunch!
We have two collections of "The Best of the Muppet Show," with three episodes each. Check them out!