Here is the full list of all 215 JQ: dogs & cats achievements. It takes around 0-1 hour to unlock all of the achievements on Windows.
Ethiopia
Abyssinian
Minskin
Toyger
Isle Of Man
Manx
Maine Coon
Bengal cat
Siberian
Somali
British Shorthair
Norway
Norwegian Forest
Kenya
Sokoke
Ukraine
Ukrainian Levkoy
Havana Brown
Thailand
Korat
Scottish Straight
American
Savannah
Chartreux
Nebelung
Egypt
Egyptian Mau
German Rex
Russian Blue
Munchkin
Donskoy
Japanese Bobtail
Iran
USA
Persian
Tonkinese
Start Cats
Alabai
Hungary
Komondor
Briard
Italy
Italian Greyhound
German Shepherd
France
Poodle
Rottweiler
Dachshund
Newfoundland
Pekingese
Dobermann
Shih Tzu
Chow Chow
Russia
Husky
Democratic Republic of the Congo
Basenji
Bull Terrier
Germany
Weimaraner
Mexico
Chihuahua
Ireland
Irish Setter
Pug
USSR
Caucasian Shepherd Dog
Scotland
Shetland Sheepdog
Czech Republic
Czechoslovakian Wolfdog
Tibetan Mastiff
England
English Bulldog
China
Shar Pei
Japan
Akita-inu
Afghanistan
Canada
Wales
Great Britain
Switzerland
Croatia
Dalmatian
Afghan hound
Labrador
Welsh Corgi
St. Bernard
Greyhound
Berner Sennenhund
EmiSoter
Start Game