 As a general rule, the color also does not always breed on (in some cases due to genetic impossibility), and offspring without the stated color are usually not eligible for recording with the color breed registry.There are breeds that have color that usually breeds "true" as well as distinctive physical characteristics and a limited stud book.These horses are true breeds that have a preferred color, not color breeds, and include the Friesian horse, the Cleveland Bay, the Appaloosa, and the American Paint Horse.