Here is the full list of all 31 X-Morph: Defense trophies - there are 17 bronze, 7 silver, 6 gold and 1 platinum.
Destroy 10000 enemy air units in the single player campaign.
Destroy the airbase headquarters during the Hawaii mission before the reinforcements are called in.
Destroy 5000 destructibles in the single player campaign.
Destroy the convoy with military resources during the mission in the USA.
Destroy 17500 enemy ground units in the single player campaign.
Finish the single player campaign.
Destroy the boss in the Japan mission.
Finish all optional missions.
Build all types of towers in one mission.
Destroy 2000 destructibles in the single player campaign.
Start a mission with your ship fully upgraded.
Destroy the boss in the Russia mission.
Destroy the boss in the Germany mission.
Destroy 2500 enemy air units in the single player campaign.
Destroy 5000 enemy ground units in the single player campaign.
Finish one optional mission.
Finish a mission without dying even once.
Finish a mission with 100% core integrity.
Destroy the boss in the South Africa mission.
Earn all other trophies.
Finish the co-op campaign.
Finish a mission with less than 10% core integrity.
Finish all missions with at least a silver trophy.
Finish all missions with a gold trophy.
Create a 1200 meters long path for enemies during the Canada mission.
Destroy 6000 enemy ground units in the co-op campaign.
Destroy 20000 enemy ground units in the co-op campaign.
Destroy 3000 enemy air units in the co-op campaign.
Destroy 12000 enemy air units in the co-op campaign.
Destroy 2500 destructibles in the co-op campaign.
Destroy 6000 destructibles in the co-op campaign.