When Digit has a case of "the reruns" in episode 101 and strings together a number of television catch phrases, one of the sentence fragments he utters is "Today's show is brought to you by the letter--", a reference to the sponsor letters on Sesame Street.
A folder in the writer's room in "Because... Love" is labelled "Straight Outta Henson Studios", which also spoofs a viral marketing campaign from the 2015 film Straight Outta Compton which documents the formation of rap group N.W.A. (featuring Ice Cube).
In the same episode, Kermit sings along to his own performance of "Bein' Green" (the 1976 Sesame Street recording by Jim Henson) while driving in his car.
When sharing his computer screen, beginning with the episode "Due Date," Scooter's desktop image can be glimpsed behind an unorganized slew of files and folders, revealing a (new) baby photo of his younger self.
In the episode "Fever Pitch," Fozzie Bear offers Scooter "100 Pitches" for a new segment. Most of these are title parodies, referencing TV shows. One in particular references Fozzie's legendary comedy writer whose name was revealed during his Muppet Show days, with "The Gags Beasley Comedy Hour."