Here is the full list of all 13 Herding Dog achievements.
Travel 1000 meters
Traveled 100 meters
Traveled 50 meters
You are as fast as the Flash
Flexibility rate more than 10%
Achieved more than 50% zen state
Visit all the world zones
10 missions completed
Fight rate more than 5%
Accomplish your first dog mission
More than 50% of success protecting animals
Save rate more than 5%
Combo rate more than 60%