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