The Whatnot Show is a performance company who invite Fozzie Bear to join their cast for the summer season in The Muppet Show Comic Book: The Four Seasons #2.
The cast consists of characters that parody the Muppets: Dermot the Dog, Miss Tiggy, Doctor Tongue, Bonzo the Great, a parody of Animal as a carrot who plays the spoons, Sam the Eagle as a British bulldog (down to wearing the Union Jack flag), and Ozzy (whose appearance suggests a beaver or woodchuck). Fozzie is asked to fill in for the departing Ozzy.
They are of no relation to Muppet Whatnots.