Here is the full list of all 13 Catgirl Doggirl Cafe achievements.
Reach the end of Chapter 13
Reach the end of Chapter 12
Reach the end of Chapter 11
Reach the end of Chapter 10
Reach the end of Chapter 9
Reach the end of Chapter 8
Reach the end of Chapter 7
Reach the end of Chapter 6
Reach the end of Chapter 5
Reach the end of Chapter 4
Reach the end of Chapter 3
Reach the end of Chapter 2
Reach the end of Chapter 1