In the shower, when Ehrlich asks if it was Craig who just spoke to him, Craig snaps, "Who did you expect? G. Gordon Liddy?". William Daniels (Craig) played Liddy in Blind Ambition (1979).
The plaid shirt and orange vest Lizzie wears are strikingly similar to the outfit worn by Marty McFly (Michael J. Fox) in Back to the Future (1985), which was a blockbuster hit about 4 months before this episode aired.
The scene where a bum claims to be Governor Michael Dukakis is a near-verbatim reproduction of a scene from the previous season in Bye, George (1985) with the real Dukakis.