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