Topanga is talking to Cory and she says, "My Aunt Prudence wouldn't even know who Romeo and Juliet are!" When her Aunt Prudence knocks on the door, she is played by actress Olivia Hussey, who played Juliet, in the 1968 film Romeo and Juliet, also starring Leonard Whiting as Romeo.
Eric is telling lies to impress a girl he's just met. The last one he told, "I'm Batman", in real life wasn't a lie after all. Will Friedle, who played Eric, was doing the voice of Batman in the cartoon series Batman Beyond around the time this episode was taped.
Topanga was named when the production staff called the show's creator Michael Jaobs and asked him for her name. He said "Topanga" since he was driving past Topanga Canyon at the time. (From Danielle Fishel's Maxim interview).
Trina McGee (then known as Trina McGee-Davis) played Angela, Shawn's teenaged girlfriend. In real life, Trina was then in her 30s, married, and had three children.