Amazing Rhythm Aces From Wikipedia, the free encyclopedia The Amazing Rhythm Aces is an American music group. The band has characterized their music as "American Music" â€” rock, country, blues, folk, reggae and Latino. They are best known for their 1970s hit "Third Rate Romance". The Aces were first a local band in Knoxville, Tennessee in the late 1960s early 1970s although they went by another name. The band consisted of founding members Russell Smith, Jeff Davis, and Butch McDade.