White patterns not including Appaloosa patterns (that will be a different set of horses).
Side note on terminology:
Piebald means "Black and White", and can refer to any of the above patterns save Roan and Rabicano.
Skewbald means "Any colour other than black and White", and can refer to any of the above patters save Roan and Rabicano. Skewbald can refer to bay, chestnut, palomino, champagne, etc.
Another side note on terminology:
A Paint is a breed of horse. Paints descend from American Quarter Horse, Paint, or Thoroughbred blood ONLY. It should not be used to refer to other breeds of horse.
A Pinto is a colour pattern. A pinto can be any breed of horse that carries the genetics for the patterns. There are pinto Saddlebreds, pinto Shetland ponies, pinto Gypsy Vanners, etc.
Part One: The Base Colors [link]
Part Two: The Cream Gene [link]
Part Three: The Champagne Gene [link]
Part Four: The Dun Gene [link]
Part Five: The Silver Gene [link]