What are the names of cat and mouse fans?

Tom and Jerry.

Tom and Jerry is an animation produced by MGM Film Company 1939, written by william hanna and joseph barbera and produced by Fred Quimby. The first season "Sweet Home" premiered in the United States in February 1940.

Tom and Jerry featured a farce, depicting a pair of bitter rivals: a war between a cat and a mouse. In the film, Tom often uses cunning tricks to deal with Jerry, while Jerry often uses loopholes in Tom's tricks to escape his persecution and get revenge.