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