What breed of horse has spots?

Mainly, there are two specific breeds of horses with spots. The pinto and appaloosa. The pinto has fewer, larger spots, and comes in fewer variations, where the appaloosa has many , smaller spots, and comes in more variations, such as blanket and leopard appaloosa. But keep in mind, that paints and pintos are different, pinto is a breed, paint is a color.

There are actually more than that - Knabstrupper and the English spotted pony are two others.