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