All Men Are Perverts: Approaching the office where the protagonists are, the mantis looks through the window.
Crow: It's a peeping mantis.
"I've got a mantis in my pantis."
Butterfly of Doom: The narration at the start of the film attempts to invoke this trope after Stock Footage of a volcano erupting is used to explain the Mantis' awakening. This does not go un-riffed:
Narrator: For every action... Mike: ... there is a Jackson. Narrator: ...there is an equal, and opposite, reaction. Mike: (as the map on-screen pans north) We take you now to a coldwater flat in Brooklyn, where another volcano is erupting. Servo: (when map pans to the North Pole) Because of volcanic activity, a creature named Santa Claus crawled out of the ice!
Apparently, Radio Frank is still in operation many centuries into the future.
Dirty Coward: One of the tribesmen abandoning another when the mantis attacks:
Servo: Good luck!
Dress Code: In the opening host segment, Servo announces it's "Business Casual Day" on the SOL and berates Mike for his alleged violations of the (non-existent) dress code.
"Let's review: No chaps without pants...Mike. Number two: No sheer camisoles...Mike. Number three: No toeless shoes or sandals or spike heels...Mike."
General Failure: "Sir, I just remembered you didn't tell us what your plan is or anything!"
I Am A Humanitarian: During a host segment, the SOL runs into a space creature. Bringing it aboard, it takes a liking to Crow and tries to eat him. In the last host segment, Crow reveals that he cooked it and served it as a meal in response.
Interspecies Romance: At the end of the episode, Mike and the Bots receive a letter from Peanut (Bobo's assistant). It's revealed he survived Earth's destruction - getting blasted into 2112 Wisconsin and meeting "a nice girl" - a Nelson woman.
Crow: It's certainly a joyous day for any Nelson woman when she meets the ape of her dreams.note Servo: I'm hiding my sock monkey, that's for sure.
I Ate WHAT?!: Crow takes great delight in telling Mike and Servo just what the well-marbled, piquant meat they're eating is.
Keep Circulating the Tapes: In 2013, NBC declared that The Deadly Mantis was under their copyright due to apparently using one or more of their sets, making it considerably more difficult to find the episode online.
Skewed Priorities: Crow's main concern about Bobo and Peanut helping the religious cult detonate the "holy and everlasting Bomb" is that they're doing that instead of providing the Satellite of Love with this week's movie.