The Nasty Rabbit  (1964)

Theatrical Release Information:
The Nasty Rabbit

This parody takes a poke at Cold War espionage films as it tells the tale of two Red spies who sneak into the U.S. and onto a Western dude ranch with an infectious bunny. It is hoped that the little hopper will cause a deadly epidemic. Once on the ranch, the Soviet agents finds themselves surrounded by similarly disguised agents from all over the world. ~ Sandra Brennan, All Movie Guide