"Falling Hare" was directed by Bob Clampett. Clampett worked on Warner Brothers cartoons for literally years, directing many of the best. After leaving Warner Brothers he would gain even more fame as the creator of the early television puppet show Time for Beany and the animated series Beany and Cecil based upon it.
Falling Hare was released on October 30, 1943 and draws heavily upon the ongoing World War II for its plot. It is set at an Army Air Force base in which Bugs matches wits with a gremlin. It refers to rationing, a fact of life during the war. As might be expected of a Bob Clampett cartoon, it contains a few pop culture references, among them the novel Of Mice and Men and one time presidential candidate Wendell Willkie. Here, without further ado, is "Falling Hare," courtesy of YouTube.