With the introduction of pets came the pets achievements. These achievements vary from scratching someones pet 350 times, to jumping with your horse perfectly 15 times.
Pet Shop Keeper
For owning so many pets. 75 pets is the amount you need to get the full achievement.
For training your pet up so many levels. The best way to do this is while doing 'Zoo Keeper' achievement name all your pets the same name, that way your getting 2 achievements while only focusing on one.
They're Eating All My Credits!
For giving your pets so many points of food.
My pets get all the love
You earn these badges by having someone else scratch your pet 750 times.
Each level you train up your monkey from the app game, you get a respectful badge of your monkey's level in the hotel. (See article for more details).
Equestrian track host
You earn these badges by jumping a lot of times with your horse over an obstacle.
To earn all of these badges you need to jump 6,000 times.
You earn these badges by successfully jumping over 35 obstacles.
You earn these badges by scratching anyone's pet 350 times.