Welcome to PT! My Mitzi is a "litter flinger" too. I have two boxes that work for her -- one is relatively large, has higher sides and a lip that comes over the edges. She doesn't fling as much litter from that one, but the one I LOVE for her, and she likes best, is a covered corner-box I got from Drs. Foster & Smith. I don't put the door-flap thing on it as she doesn't like that, but she loves the protection of the covered box and I love the fact that I don't have to vaccuum every day anymore -- just every other day