Mooncalf
MOM Classification: XX
The Mooncalf is a creature that's probably had dozens of incarnations across folklore and media. However, in Rowling-land, it's got gray fur and comes out by the light of the full moon to dance. Mooncalves have huge, flat feet, which apparently form crop circles. Plants in fields sprinkled with Mooncalf dung grow very healthy and strong.
Gerald Durrell had an alternative view of Mooncalves which made them snail-like creatures whose jelly could be fashioned for various purposes.
Note that these pictures are just of Mooncalves dancing, since I expect that normally they would be quadrupeds.