Paint is a Color breed and was started for quarter horses that had to much white to registered as quarter horse.
Pinto is a cross breed multi color, Appaloosa is a color breed, Palamino ,Bucksin and Albino are a few more color breeds...
Ah how wrong you are. Paint is a breed, sure a lot of them have white patterns, but that is not the breed standard. There are plenty of Paints that have no white at all.
Pinto does not mean a cross bred. Every Paint that has a white pattern is also a pinto. Pinto refers ONLY to the horse's colour, not to their breeding.
Appaloosa, again, is a breed that can have the appaloosa colouring, but there are plenty of Appaloosas that don't have spots. There are also other breeds that have the appaloosa colour pattern, which is still called appaloosa even though they aren't Appaloosas (note the capital A for the breed, non capital for the colour).
Palomino, buckskin and albino are not breeds. They are colours. Well, palomino and buckskin are, albino is just not anything. They started the albino registry years before anyone understood the cream gene and how it works, and so they stuffed double creams in there, thinking they were albino. But they aren't.