In Calculon's suitcase, he had a headshot of Coilette, showing he still has feelings for her.
The scene when they use "science" to bring Calculon back resembles satanic rituals.
Bender says "Here's corpsey!" when he throws Calculon's lifeless body onto the floor; a reference to Jack Nicholson's line in The Shining, "Here's Johnny!" (which in turn is taken from Ed McMahon's intro for Johnny Carson on The Tonight Show).
As Calculon wakens, he mumbles, "Rosebud." The word is central to the plot of 1941's Citizen Kane, as the last word uttered by Kane before dying.
Calculon's one-robot show seems to be a mashup of Mark Twain Tonight, using (instead of Twain) the HAL 9000 from 2001: A Space Odyssey. Calculon wears a white suit (as Twain would), but has a red light strapped to his forehead (like HAL's electronic eye).
Calculon's show premieres at the Shubot Theater, a reference to the Shubert Theater.
Following the premiere of Calculon's show, the group goes to "The Tragic Pan" to dine and await the reviews. The restaurant's name references a restaurant chain that existed from the 1970s until the 1990s, The Magic Pan Creperie; it also plays on the theater slang for a poor review, of being "panned" by a critic.