Here is the full list of all 13 Tiny Troopers Joint Ops: Zombie Edition trophies - there are 9 bronze, 3 silver and 1 gold.
Fully upgrade your squad
Zombie - Reach wave 25
Zombie - Kill 100 zombie chickens
Zombie - Reach wave 10
All campaigns completed
Completed Spec Ops Campaign
Revive fallen squad members 10 times
Complete Zombie Campaign
Use an airstrike to kill 3 enemies at once
Complete Soldier Campaign
Earn 1,000,000 Command Points
Lose the first mission in either Campaign
Complete the Tutorial