Continuity error: During the scene where Petruchio is chasing Kate around the room, the shadow of a boom microphone can be seen in the top right corner of the screen.
Given the episode's subject matter, and the show's popularity with young people, when Atomic Shakespeare first aired, many English teachers in the U.S. included the episode as part of assignments for students.
Boy: Hey, Mom, It's 'Moonlighting.' You know that show about the two detectives, a man and a woman... Mom:...and they argue a lot but all they really want to do is sleep together? Boy: Yeah! Mom: Sounds like trash to me.
Petruchio: Women be property!
Petruchio (to Bert/Lucentio): ...For thy manly instincts will kick in when thee doth arrive.
Petruchio: Zounds! What mounds!
Kate (and others): Wrong play!
Creator Glenn Gordon Caron, Bruce Willis, Cybill Shepherd and producer Jay Daniel provide DVD commentary for this episode.
Will Mackenzie won a Directors Guild of America Award for this episode.
For this episode, Alf Clausen was nominated for an Emmy for Outstanding Individual Achievement in Music Composition for a Series (Dramatic Underscore).
This episode is credited as being "from an idea by William 'Budd' Shakespeare."
Music: David/Petruchio sings Shirley Ellis' "The Name Game" when addressing Maddie/Kate; Bruce Willis performs "Good Lovin'," originally by the Rascals (included on Moonlighting soundtrack); the band plays the Carpenters' "Close to You"