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