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