When playing RPGs, I grown to like having a miniature to represent my character. I don't necessarily need a battlemat with exact movements but I like having the physical representation. The studded plate blog had a couple of posts on using lego minifigures. My son really liked the Legends of Chima Lego theme. It has various anthropomorphic animals. I started to think about what game they could be used in. Given the limited selection of animals available you might not be able to satisfy all your players if you used minifigures. If you wanted bigger than normal characters you would only have the mammoths unless you brick built the character instead. But Lego has produced other anthropomorphic animals outside Legends of Chima. The TMNT line had turtles, rats, and big dog and spider figures. Ninjago has snakes. Marvel Superheroes has Rocket Raccoon plus other superpowered heroes depending on your mutations. The collectible minifigures have various people in animal costumes which could be used after replacing the head inside to be blank black or something. If you want to spend alot for a figure the Quick bunny had a figure produced at one point.
The Legends of Chima setting is interesting but doesn't have mutations. While you could run it in Mutant Future, I'd probably just use a different system, maybe Labrynith Lord and create classes for each race. Mostly they would be fighter like but raven would probably have some thief skills. You would need to add in some futuristic weapons from Mutant Future.