If you are a billy goat, buy a grey or brown wig and attach it to your face to be a beard. decide whether you want to wear a collar with a small bell around the neck like many goats do. buy a pre-made goat mask from a dollar store or use face paint to complete your outfit.. Goats are used as characters in movies and books, and even referred to in the bible. when making a costume, you can choose from quite a few different types of goats including the brown billy goat, plain grey or white goat, or even a satyr which is a greek mythical creature that is half man and half goat.. About goat costumes with goat costumes, you can transform your family into the beasts of the barnyard this halloween. with a vast inventory of costumes on ebay to choose from, gearing up for that exciting night is simple..