Dilute Calico cats are simply cats of any breed that have the Calico coat pattern. The Calico coat pattern is usually made up of three colors and must have distinct patches of white, black and red. Dilute Calico is different in the way that the stronger colors, the black and red, are "diluted" and are cream and gray/blue respectively. Dilute Calico is not the name of a recognized breed of cat, just the name for a coat pattern and color.
Breeds That Accept the Pattern
American Shorthair, American Bobtail, British Shorthair, Exotic, Maine Coon, Manx, Persian, Scottish Fold, Turkish Angora