Here is the list of goals that I have so far, if you unlock any new ones please post a pic below so it can be added to the list.
Edit:
Here is a list of the goal chains (thanks to DW!! )
Loyal Owner
Pet-icure! > Hospitality
Horse Sense > Hot To Trot
Hello, Bella > Puppy On Board > Little Log Cabin > Cubby Care > Toy Block Room
Tofi's Relaxation Method
Ramon's Robo-Rescue > Mystery Expansion > Ramon's Bargain > Robo-Vacation! > Roombot Arrives! & Building A Friendship
The Business Of Romance
Making More Room
Pet Pals > The Social Petwork
Hello Bella:
(get a nursery, but it was wisked away before I coins snap a pic, if you have one please post it)
Tofi's relaxation method: