At the end of "The Alan Brady Show," everyone sings the opening music of The Dick Van Dyke Show, thereby becoming a show that references itself.
Once again Carl Reiner appears on camera as Alan Brady, and once again his face is hidden from the audience, this time by a Santa Claus beard.
When Rob sings the line "I can act like Shirley Booth", Laura responds with "Didn't she win an Emmy?" The joke is that Booth had beaten out Mary Tyler Moore for the Emmy for "Outstanding Continued Performance by an Actress in a Series (Lead)" that year.
Opens with an instrumental version of the song "A Lot of Livin' to Do" from "Bye Bye Birdie." Dick Van Dyke stared in "Bye Bye Birdie" on Broadway in 1960 and in the movie version earlier in 1963.
This was the second time Rob, Laura, Sally and Buddy performed "I am a fine musician." The first time was in season 2, episode 24, "The Sam Pomerantz Scandals."