Original australian Daybill Movie Poster.That Darn Cat is a 1965 American Walt Disney Productions thriller comedy film starring Hayley Mills (in her last of the six films she made for the Walt Disney Studios) and Dean Jones (starring in his first film for Disney) in a story about bank robbers, a kidnapping and a mischievous cat. The film was based on the 1963 novel Undercover Cat by Gordon and Mildred Gordon and was directed by Robert Stevenson. The title song was written by the Sherman Brothers and sung by Bobby Darin. The 1997 remake includes a cameo appearance by Dean Jones. The movie was well received by critics and the writers won many awards along the way.