Accidental Innuendo: In the episode "Top of the Sky/Jiggle Bones", while trying to determine what body part a long, straight bone belongs to, the Cat tells the children "The arm isn't the only part of the body that's long and straight!"
Ear Worm: The opening theme song and "Here we go, go, go, go, on an adventure/the Thingamajgger is up and away!..."
Paranoia Fuel: Okay, so obviously it means nothing whatsoever, but when the Cat shrieks "Isn't this fun?!?" as the Thingamajigger takes off in each episode... he sounds kind of psychotic.
The Cast Showoff: Martin Short as the Cat gets every opportunity to show off his genuinely impressive singing voice.