Saturday Morning Cartoons: The Abbott and Costello Cartoon Show by Ray Schuck · Published May 15, 2021 · Updated May 10, 2021 The Abbott and Costello Cartoon Show aired from 1967 to 1968. The show’s theme music was written by Hoyt Curtin. How do you rate this post? Click on a star to rate it! Submit Rating Average rating 0 / 5. Vote count: 0 No votes so far! Be the first to rate this post.