The silhouetted characters admonishing Fry for talking during the movie are the robots from Mystery Science Theater 3000 (1988), who regularly make frequent wisecracks in silhouette while watching old B-movies.
The opening credits for "All My Circuits: The Movie" show that it was written by Writing Unit 5, Writing Unit 12, and Joe Eszterhas. The last is an actual writer, known for writing Basic Instinct (1992), Flashdance (1983), and Showgirls (1995), among others.
During Leela's flashback, her kung fu master tells her she does not have the will of a warrior, but the will of a housewife or schoolmarm. Katey Sagal, who voices Leela, previously played both a housewife (on Eine schrecklich nette Familie (1987)) and a schoolmarm (on Hot for Teacher (2007)).
The movies playing at the Loew's Multiplex are as follows: It Came From Planet Earth, Shaft on Africon-9, When a Man Loves a Smizmar, Galaxy Wars, Planet of the Clams, Quizblorg, Quizblorg, and of course, All My Circuits: The Movie.
More Futurama math humor. At 1m 30s, the name of the movie theater looks like "LOEW'S N-PLEX". However, the "N" is really the Hebrew letter "Aleph" (unicode 8501) with a subscript of 0 (zero) known in mathematics as "Aleph-zero". This essentially represents the size of the infinite set of natural numbers. While this is different from "infinity", the intent is clear that the name of the theater is essentially supposed to be read as "Loew's Infiniplex".