Here is the full list of all 63 Defense Grid 2 trophies - there are 58 bronze, 3 silver, 1 gold and 1 platinum.
Using only Inferno towers, Win any chapter 4 (or later) mission.
Using only Cannon towers, Win any chapter 4 (or later) mission.
Using only level 1 towers, Win any Chapter 4 (or later) mission.
Build 100 Cannon towers.
Survive 100 waves on any Super Grinder challenge mode.
Inspect 10 aliens.
Use the command shuttle to move 6 map sections in Mission 6.
Earn a silver medal (or better) on all missions in the Story mode.
Complete the single player campaign in Story Mode.
Kill 10,000 aliens.
Earn a gold medal on every mission in Story mode.
Win a Gold medal on mission 19 without using the Command Shuttle.
Build 100 Tesla towers.
Use the Core Teleport special weapon (Professor Taylor).
Win a chapter 4 (or later) mission with level 3 towers only and no selling.
Build 100 Boost towers.
Use the Temporal Cannon Special Weapon (Colonel Rissler).
Use the Resource Reinforcement Special Weapon (Professor Briel).
Use the Tower Overcharge Special Weapon (Advisor Zacara).
Using only Gun towers, Win any chapter 4 (or later) mission.
Beat a Chapter 4 mission or higher with zero cores captured.
Use the Precision Targeting Special Weapon (Rear Admiral Phillips).
Sell 10 towers.
Sell 10 towers or more in a single mission.
Enable a Tower Augmentation item on any tower.
Win a mission with at least 10,000 resources remaining.
Build every tower and every upgrade for each tower.
Build 1 of each tower type in any single mission.
Build and fully upgrade each tower type in one mission.
Use the Orbital Laser Special Weapon (General Cai).
Win a mission with at least 5,000 resources remaining.
Build 50 towers of any type in one mission.
Kill an alien boss creature. (Juggernaut, Rumbler, Turtle, or Crasher)
Build 100 Gun towers.
Kill 1000 aliens.
Finish all the missions in Chapter 1 in Story Mode.
Win any mission without selling any towers.
Use the reload checkpoint option five times in a single mission.
Earn a Bronze (or better) medal in a Single Player Mission.
Upgrade a tower.
Win a mission with at least 1,000 resources remaining.
Use the Reload Checkpoint option.
Kill an alien carrying a power core.
Recover a loose core.
Earn a Gold Medal.
Kill 1 alien.
Earn a silver (or better) medal.
Kill 100 aliens.
Use the speed up control for a total of 60 seconds in any mission.
Save a core that is less than 10 seconds away from the map's exit point.
Build 20 towers of any type in one mission.
Unlock all trophies for Defense Grid 2.
Survive 100 waves on Grinder challenge mode on any mission.
Earn 100 Gold Medals on any missions.
Earn a Gold medal in a Coordinated Defense Multiplayer Mission.
Kill 50,000 aliens.
Build 100 Inferno towers.
Build 100 Laser towers.
Build 100 Temporal towers.
Build 100 Meteor towers.
Build 100 Missile towers.
Build 100 Concussion towers.
Enable a Tower Augmentation Item on 10 Towers.