Do you stump what to call your horse? Check out our detailed list of Cool horse names/ Unique Horse Names to help you pick the ideal name for your beloved. If you give your horse one of these great names, he'll be in good company. These are some of the coolest names for mares and stallions that you'll hear again and over again. Cool horse names that are trendy and stylish are constantly in style. Naturally, some names come and go, but they all have a calm, cool vibe about them.