Horses

Myself and some of the friends I joined with are looking to see if possibly there might be other breeds of Horses? Seems when they foal they ONLY give you one color and nothing else, even if the colors that bred are not even close to the brown foal you always get?
I mean this is not like Red Dead Redemption where you can choose many different breeds, but it's been a wonder, so I thought I would ask.... Thanks for reading :