Here is the full list of all 38 Toon War (EU) trophies - there are 20 bronze, 13 silver, 4 gold and 1 platinum.
You can go home soldier!
Destroy 50 Water tanks
Destroy big ships
Kill 30 shield mans
Destroy 30 tanks
Destroy airplane boss
Destroy 100 boats
Survive from vortexes
Destroy Submarine boss
Kill 100 snipers
Destroy 50 rocket launchers
Destroy 50 air drones
Kill 50 motorcycles
Destroy 30 ground turrets
Destroy 30 btrs
Destroy Train Boss
Destroy 30 trucks
Bring the flammenwerfer
Destroy all the bombs in night
Kill 50 grenade men
Kill all giant enemies
Destroy Grader Boss
Destroy 30 snowmobiles
Runaway from snowball
Destroy 50 ski mans
Defeat the snow runner
Destroy Dron boss
Kill 300 kamikazes
Defend the bridge
Destroy 50 Hummers
Rescue Hostages
Kill 200 machinegunners
Destroy Spider boss
Kill 30 Camel raiders
Destroy Artilery Boss
Kill 50 Rocket Men
Destroy Radar boss
Kill 50 Akm Men