Well, pets are one of my favourite things about Fantage (so cute U 3 U). All the pet medals can be earned by non members too. In total there are 65 pets (13 families × 5 pets in each family = 65 pets).
Here are the medals (at the max level), click on them to visit the sub-pages about the activity:
Here are the stories about the pets, except for the Holiday Family:
Pets in fashion show: