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.
Democratic Republic of the Congo
Mexico
Ireland
Czech Republic
Abyssinian
Ethiopia
Minskin
Toyger
Manx
Isle Of Man
Maine Coon
Bengal cat
Siberian
Somali
British Shorthair
Norwegian Forest
Norway
Sokoke
Kenya
Ukrainian Levkoy
Ukraine
Havana Brown
England
Korat
Thailand
Scottish Straight
Scotland
American
Savannah
Chartreux
Nebelung
Egyptian Mau
Egypt
German Rex
Russian Blue
Munchkin
Donskoy
Russia
Japanese Bobtail
Persian
Iran
Tonkinese
USA
Start Cats
Japan
Croatia
Afghanistan
Wales
Great Britain
Switzerland
Alabai
USSR
Komondor
Hungary
Briard
Italian Greyhound
Italy
German Shepherd
Poodle
France
Rottweiler
Dachshund
Germany
Newfoundland
Canada
Pekingese
China
Dobermann
Shih Tzu
Chow Chow
Husky
Basenji
Bull Terrier
Weimaraner
Chihuahua
Irish Setter
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