In an interview, Juliana Donald (Jenny) recalled how filming of the jogging scene in the park was temporarily delayed by a camera problem. In wide eyed amazement, a little boy passing by approached and started talking to Kermit, oblivious to Jim Henson operating him. Despite the surrounding commotion of technicians trying to fix the camera issue, Jim started interacting with the boy. Moments later, Jim found himself doing an impromptu performance with Kermit for an entire group of children who had gathered around to watch. Juliana said, "It was so memorable to me because time just stopped. It was a wonderfully magical moment where you experience someone's true joy with their work."
The portrait of Kermit in his producer's disguise has become a permanent fixture at the real Sardi's, and can be seen in other movies set there.
After several less-than-satisfying takes of the scene between Joan Rivers and Miss Piggy, director/performer Frank Oz sent a stagehand to get him and Rivers two gin & tonics a piece. The two chatted and imbibed their drinks before filming one more take, which appears in the final film.
First appearance of the Muppet Babies (1984) characters, whose cartoon premiered two months after the film's release.
Speaking on the film's MPAA rating, Jim Henson said, "There have been only four G movies this year. Isn't that amazing? I would never do a Muppet movie that wasn't a G. It's said that the G rating has a stigma. Kids don't want to see kiddie movies anymore."
Gregory Hines: Lends Miss Piggy his roller skates so that she may chase down the purse snatcher. Also participates in Kermit and Miss Piggy's reunion and confrontation immediately after the chase.
Liza Minnelli: she arrives in Sardi's to note that Kermit has stolen her portrait and replaced it with his own.