The Solomons live at 417 Pensdale Road, "Rutherford", Ohio.

Physicist Brian Greene has written dialogue for John Lithgow's character.

In the first episode where William Shatner plays The Big Giant Head, he talks about the dreadful experience he had aboard an airplane, whereupon John Lithgow exclaims, "So did I!" This is an inside joke about the Twilight Zone story, "Terror at 20,000 Feet". William Shatner played the lead role in that episode of the TV series "The Twilight Zone", and Lithgow played the lead role in that story in Twilight Zone: The Movie.

During its five-year run on primetime, the show underwent more than 15 time-slot changes.

During one episode, Dick (John Lithgow) and Sally ('Kristen Johnston' ) are trying to talk to each other in the kitchen, however Tommy and his friends are down in the garage practicing their speed-metal song. Dick goes down into the garage and begins to preach about the sins of rock music to the teens. John Lithgow gave this same sermon in Footloose.

In an episode dealing with the 'secret' relationship between Dick and Dr. Albright, the family becomes agitated that Mary is staying over so much. Sally complains, "Last night she forced us to watch an A&E Biography on Susan St. James!!" Jane Curtin (Dr. Mary Albright) and 'Susan St. James' were co-stars on the CBS sitcom "Kate & Allie".

John Cleese plays a man calling himself Scoochie, who is sending love letters to Mary. He confronts Dick wearing a black knight uniform in a renaissance festival. Cleese also played the black knight in Monty Python and the Holy Grail.

The three main male characters' names are Tom, Dick and Harry.

John Lithgow's son from his first marriage, Ian Lithgow, played Dick Solomon's student Leon throughout the series

In the episode where they go to New York to start a different life, Harry, gets a job as the President of NBC. As president he arranges a new schedule for the spoof of Will & Grace this series is produced by NBC.

In the episode "Auto EuroDicka", Dick (John Lithgow) has a fling with the mother of one of his students, Bug, played by David DeLuise. Bug's father, also Dick's fling's ex-husband, and Bug's brothers confront Dick and attempt to teach him to have more respect for women. Bug's father was played by David's real-life father, Dom DeLuise, and Bug's brothers were played by his two real-life brothers, Michael and Peter DeLuise.

In the episode in which Dick (John Lithgow) accidentally hits a chipmunk and rushes it to the vet, he has a very dramatic scene next to the examining table where he rants about his chipmunk being in pain. He yells, "Give my chipmunk his shot!" a reference to Terms of Endearment, in which Lithgow also appeared.

The character 'Dick Solomon' was ranked #24 in TV Guide's list of the "25 Greatest Sci-Fi Legends"

95% of all episode titles are a play on the word "Dick".

During the filming of the final season, NBC refused to let the producers know whether or not they had been renewed until after the filming of the final episode, in order to try and draw in viewers. To compensate, the creators filmed two different endings. In the first ending, which was shown on network television, the Solomons went back to their homeworld and erased Mary's memory. In late 2001, the second ending was shown in syndication for what was billed as the "first and only time." This "second ending" is actually an extension of the original: Mary wakes up and goes to the Solomon's car and finds that Dick has given her the keys (you can see Dick tucking something in her hand in the original broadcast ending). When she puts the key into the ignition, a naked Dick appears next to her in the car and screams "ALIEN ABDUCTION! ALIEN ABDUCTION!" before grabbing Mary and disappearing with her.

In "Assault with a Deadly Dick," a line of dialogue was cut after the first airing. Dick is waiting at the police station with Mary to point out the man who mugged him. Officer Don comes in and says "Time to finger your perp." Dick looks awkwardly at Mary and replies "I keep trying, but she won't let me." When the episode was rebroadcast a few months later, Dick's line was omitted and the laugh track was streched. This line is always cut in syndications, but when shown outside the US, the line is intact.