Here is the full list of all 21 Cardaire achievements.
The base game contains 14 achievements, and there is 1 DLC pack containing 7 achievements.
Receive the Promo Card for buying out Pop's Shop.
Receive the Promo Card from the Fishing Ticket Exchange.
Receive the Promo Card for beating the Secret Boss.
Buy a Pet Rock from the Fishing Ticket Exchange.
Catch a 75lb or larger fish.
Use the Lucky Draw machine.
Collect all 12 unique card backs. (Not including the Default back)