Early in the episode Roz explains how her date, who works at a wicker store, had to leave for a work emergency, She rhetorically asks "Who needs their end tables re-caned at 9:30 at night?" Amusingly, in the TV show Police Squad (1982), Lt. Frank Drebin follows up on a lead, claiming "...It turned out to be one of those all night wicker places..." When he arrives at the 24hr wicker store late at night, people are coming and going in their bathrobes, and hair curlers, and whatnot. It could be that the writers drew on this obscure piece of comedy as inspiration for Roz's dilemma, and as a nod to a comedy classic.
Daphne tells Frasier that she once dated a man who'd gone out with several of the top British actresses. She goes on to say that they broke up, but that he had gotten her an autographed photograph of Helena Bonham Carter riding on a pony. This is possibly a reference to Carter's role in a 1987 TV movie, A Hazard of Hearts (1987), for which there are known copies of such a picture.
Martin (John Mahoney) is watching a Seattle Seahawks game on television, which fits with the November air date. However, if the boat show that Niles (David Hyde Pierce) and Martin attended is the annual Seattle Boat Show, that would have been scheduled in late January to avoid conflict with the Seahawks, since both used the Kingdome as a venue until it was demolished in 2000.
Per the title, the original Broadway production of "My Fair Lady" opened at the Mark Hellinger Theater in New York on March 15, 1956, and ran for 2,717 performances, which was, at the time, the longest run a Broadway show had ever had. The original production is still the eighteenth-longest-running production in Broadway history. Rex Harrison and Stanley Holloway recreated their roles in the movie, My Fair Lady (1964). Harrison won the 1957 Tony Award for Best Actor in a Musical and Holloway was nominated for Best Featured Actor in a Musical. The show won the 1957 Tony Award (New York City) for the Best Musical.
Larry King mentions Brad Pitt and Daphne mentions Helena Bonham Carter. Brad Pitt and Helena Bonham Carter would both later star together in Fight Club (1999).