 The episode was generally well received by television critics. In a review by the Toronto Star, Ben Rayner commented that "Two Dozen and One Greyhounds" was one of his favorite episodes of the series, and concluded that Mr. Burns'"tour de force" performance was particularly captivating. The Toronto Star later produced a list of the best and worst The Simpsons episodes, in which they considered "Two Dozen and One Greyhounds" one of the best episodes of the series and concluded that the musical number was one of the best scenes involving Mr. Burns. In a review for the sixth season DVD of The Simpsons, IGN's Todd Gilchrist found Burns'performance to be memorable, commenting that he "flirts with copyright infringement with his rendition of' See My Vest '". Michael Price of IGN also considered Burns' performance to have reached a level of excellence comparable to "The Monorail Song" in "Marge vs. the Monorail".
