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 100 cats!
You've petted 500 cats!
You've successfully completed area 1!
You've successfully completed area 2!
You've successfully completed area 3!
You've successfully completed area 4!
You've successfully completed area 5!
Found special cat : Angel
Found special cat : Catty Potter
Found special cat : Catnip Crook
Found special cat : Sir Purrington III
Found special cat : Tabby Tycoon
Found special cat : Meowsaurus Rex
Found special cat : Tuna Roll
Found special cat : Her Royal Catness
Found special cat : Whisker Wrangler
Found special cat : Pawsperity Cat
Found special cat : Holly Jolly Kitty
Found special cat : Captain Whiskerbeard
Found special cat : Strummin' Whisker
Found special cat : Meowster Chef
Found special cat : Vincent van Purrgh