He redid his entire anti-music speech from Footloose resulting in giant amounts of hilarity.
His first time riding in a plane, Dick panics after seeing "something on the wing." Mary informs him that that's the engine.
Double Allusion: When the Big Giant Head (William Shatner) visits Earth, upon disembarking from a plane, he tells Dick that he had to be sedated (with something wonderful called "alcohol") after also seeing "something on the wing." Dick exclaims, "Same thing happened to me!" The character Lithgow played in The Movie was portrayed in the original Twilight Zone episode by Shatner.
The tie-in book 3rd Rock from the Sun: The Official Report (written as the report of the Solomons stay on Earth) features a foreword by John Lithgow with a post-it note attached "written" by Dick Solomon claiming he doesn't know why the foreword is there and referring to Lithgow as an Earth actor who appeared in "some helicopter movie".
Roseanne Barr plays the Big Giant Head's niece, Janet, who was supposed to be Dick's wife. At first, she's totally devoted to being a good wife, and enjoys cooking and cleaning. Then Dick finds out that she was under the belief that she "had" to love him since she was his wife and those were "the rules". Dick informs her that there are no rules to marriage and she's free to be with whoever she wants. Janet then drops everything and reveals that she really hates cooking, cleaning, being with Dick, and his family, and then decides to explore the world. Up until Janet's declaration of her hatred of being a housewife, Roseanne's role was an inversion to her former glory as Roseanne Connor from Roseanne. Upon admitting how she really felt it turned into a shout out to her former role. (Both that show and this show were produced by Carsey-Werner.)
Dick re-enacts Shirly Maclaine's "give my daughter the shot" scene from Terms of Endearment, a movie Lithgow was in.
In season 2, Dick and Mary attend a convention, where the first cosplayers they see are Coneheads.
In one episode Sally complains that Mary forced the family to watch an A&E Biography of Susan Saint James, Curtin's Kate and Allie co-star.
Creator Couple: The opening titles end with the credit "Created by Bonnie Turner & Terry Turner." They are a married couple. Incidentally, the show is set in Ohio because Bonnie is an Ohio native (their other show from Carsey-Werner, That '70s Show, had the town, Point Place WI, named for a section of Toledo).
Edited for Syndication: The syndicated versions removed the pre-opening credits sequence of James Earl Jones narrating about the four main characters; they were cut for time. These were unfortunately the versions included on the initial Anchor Bay releases, but luckily these intros were restored for the Mill Creek Entertainment re-releases.
"Auto Eurodicka" sees members of Bug's family played by David DeLuise's father Dom and brothers Michael and Peter.
Leon is played by John Lithgow's son, Ian.
Screwed by the Network: Do you know how many times NBC changed the series' timeslot? Fifteen times... at least. Coupled with often being scheduled against stiff competition, making it to six seasons was quite an accomplishment. NBC particularly hurt the show with its scheduling choices in Season 6 - with ratings taking such a hit that production knew they wouldn't be back for a seventh.
This show and 30 Rock share more than similar titles:
Tracy Morgan appeared in a 3rd Rock episode ("Dick'll Take Manhattan") and John Lithgow appeared in a 30 Rock episode ("Goodbye, My Friend"). Both were playing themselves.
Their connections to Saturday Night Live are inverted. 3rd Rock was created by two SNL alums and has one SNL alum in the main cast. 30 Rock was created by one SNL alum and has two SNL alums in the main cast.
Elaine Stritch plays the overbearing mother of a main character on both shows. Jan Hooks has a Recurring Character on both shows as well.
In the film The Flintstones in Viva Rock Vegas, Wilma is played by a 3rd Rock regular (Kristen Johnston) and Betty is played by a (future) 30 Rock regular (Jane Krakowski).
When 30 Rock first premiered, it aired alongside John Lithgow's short-lived sitcom Twenty Good Years.