Ben Rayner from the "Toronto Star" thought that "Two Dozen and One Greyhounds" was one episode of "The Simpsons" he liked the most. He thought Mr. Burns in the "See My Vest" song was the most interesting part. The "Toronto Star" later made a list of the best and worst episodes of "The Simpsons". They put this episode as one of the best and said "See My Vest" was the best part of the episode. Todd Glichrist from IGN called the episode "memorable" and talked about "See My Vest" by saying Mr. Burns "flirts with copyright infringement". Michael Price from IGN thought the song was just a great as "The Monorail Song" from the episode "Marge vs. the Monorail". Colin Jacobson from DVD Movie Guide liked the references to many Disney movies and to Roy Calhoun. Jacobson said this made it a "fine show".