Here is the full list of all 22 Cats and Seek : Dino Park achievements. It takes around 0-1 hour to unlock all of the achievements on Windows.
You've petted 500 cats!
You've successfully completed area 5!
Found special cat : Vincent van Purrgh
Found special cat : Strummin' Whisker
Found special cat : Meowster Chef
You've successfully completed area 4!
Found special cat : Holly Jolly Kitty
Found special cat : Captain Whiskerbeard
Found special cat : Pawsperity Cat
You've successfully completed area 3!
Found special cat : Whisker Wrangler
Found special cat : Tuna Roll
Found special cat : Her Royal Catness
You've successfully completed area 2!
Found special cat : Meowsaurus Rex
Found special cat : Tabby Tycoon
Found special cat : Sir Purrington III
You've successfully completed area 1!
You've petted 100 cats!
Found special cat : Catnip Crook
Found special cat : Angel
Found special cat : Catty Potter