Here is the full list of all 10 My Universe - Puppies & Kittens trophies - there are 5 bronze, 4 silver and 1 gold.
One of your lovely kittens reaches level 10.
Collect 99 999 trainer points.
Have your kittens tackle 50 objects in the laser pointer minigame.
Have 4 puppies in your living room.
Take your pet on 50 walks. Who wouldn't walk 500 miles for their pets?
One of your furry friends reaches level 10.
Satisfy every need of a pet.
Rub the belly of one of your fluffy puppies.
One of your furry friends gains a friendship level.
Adopt your first furry friend.