The myth of the rabbit making mochi on the moon is a favorite one in Japan, and seems to be as pervasive as the Easter Rabbit dying eggs story. It shows up in culture as toys, art, cartoons, religious art, and pop art.
I have created a gallery of images I have collected over the years. And you can see more pictures of the bunny, mochi, and moon quilt made for my niece here as well as find sources for fabrics.