Here is the full list of all 19 Super Exploding Zoo trophies - there are 4 bronze, 6 silver, 8 gold and 1 platinum.
Complete Super Exploding Zoo.
Collect all the stickers!
Defeat an opponent using Pandas.
Survive your own rampage and then defeat opponent on their rampage.
Defeat an opponent using Rhinos.
Force a draw in VS mode with only 1 animal left.
Breed 100 Baby Crocs.
Allow the motherships to spawn 40 babies on Dynamite Heights Level 8.
Destroy everything in the Zoo Hub.
Destroy everything in a Dynamite Heights level.
Finish with exactly 2 of each animal in your herd on Dynamite Heights Level 3.
Finish a level with just baby animals alive.
Finish a level with 60 animals for the Hatchery.
Aliens ate 56 sleeping animals.
Vandalise all the cars.
Stay armed for an entire level.
Fail by using your last animal to blow up a wall.
Collect your first sticker!
Fail a level by deploying a special skill animal as your final animal.