There are 10 breeds of Burmese cats:
Brown Burmese cat (dark brown coat, no calico)
Blue Burmese cat (coat is silver-grey with glossy silver markings) 
Chocolate Burmese cat (coat is a warm chocolate milk color, no parti-colored coat)
Light purple Burmese cat (coat is pinkish-grey, no calico pattern)
Red Burmese cat (coat is light orange-red, with the ears being a darker color than the back)
Cream-colored Burmese cat (coat is bright cream-colored, no parti-colored markings)
Brown tortoiseshell Burmese cat (details) (coat is brown with red spots)
Chocolate tortoiseshell Burmese cat (coat is chocolate brown with red spots)
A light purple tortoiseshell Burmese cat (with pinkish-grey spots on its coat and cream-yellow spots on its body).
Blue tortoiseshell Burmese cat (coat is grayish-blue with cream-yellow spots)