Answer:
There are 68. They are:
Airedale Terrier
Akita Inu
Alano Espanol
Alapaha Blue Blood Bulldog
Alaskan Husky
Alaskan Malamute
American Akita
American Eskimo Dog
American Foxhound
American Staffordshire Terrier
Anatolian Shepherd Dog
Australian Cattle Dog
Australian Shepherd Dog
Bernese Mountain Dog
Black and Tan Coonhound
Bloodhound
Borzoi
Bouvier des Flandres
Boxer
Briard
Bullmastiff
Canaan Dog
Chesapeake Bay Retriever
Chinese Shar-Pei
Chow Chow
Collie
Curly Coated Retriever
Doberman Pinscher
English Foxhound
English Setter
Finnish Spitz
Flat Coated Retriever
German Pinscher
German Shepherd
German Shorthaired Pointer
German Wirehaired Pointer
Giant Schnauzer
Golden Retriever
Gordon Setter
Great Dane
Great Pyrenees
Greater Swiss Mountain Dog
Greyhound
Ibizan Hound
Irish Setter
Irish Water Spaniel
Irish Wolfhound
Komondor
Kuvasz
Labrador Retriever
Mastiff
Neapolitan Mastiff
Newfoundland
Nova Scotia Duck Tolling Retriever
Old English Sheepdog
Otter Hound
Polish Lowland Sheepdog
Pointer
Rhodesian Ridgeback
Rottweiler
Saint Bernard
Saluki
Scottish Deerhound
Shiba Inu
Spinone Italiano
Vizsla
Weimaraner