The probe that sends out a signal and destroys those planets that do not answer it is a reference to Star Trek IV.
The scene in Fry's dream when Seymour drinks a martini and says "Philip, have you lost weight?" in Seth MacFarlane's voice is an obvious reference to the talking dog Brian, whom MacFarlane voices, from Family Guy, which MacFarlane created.
When Fry says to Seymour "Shrink down and get in my pocket!" this may be a reference to Adventure Time with Finn and Jake the dog, who frequently travels in Finn's various pockets.
The cut of Fry falling backwards in his chair in slow motion during his dream mimics a "kick" in the film Inception (2010).