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