Successfully complete one of the following tasks to get a trophy:

Dead on Arrival (Bronze): Complete Chapter 1 on any setting. 
Lab Rat (Bronze): Complete Chapter 2 on any setting. 
All Systems Go (Bronze): Complete Chapter 3 on any setting. 
Cannon Fodder (Bronze): Complete Chapter 4 on any setting. 
True Believer (Bronze): Complete Chapter 5 on any setting. 
Greenhouse Effect (Bronze): Complete Chapter 6 on any setting. 
S.O.S. (Bronze): Complete Chapter 7 on any setting. 
Strange Transmissions (Bronze): Complete Chapter 8 on any setting. 
Wreckage (Bronze): Complete Chapter 9 on any setting. 
Keeper of the Faith (Bronze): Complete Chapter 10 on any setting. 
Betrayed (Bronze): Complete Chapter 11 on any setting. 
Exodus (Bronze): Complete Chapter 12 on any setting. 
Pack Rat (Bronze): Store 25 items in Safe. 
Story Teller (Bronze): Collect Half of all Logs. 
Z-Baller (Bronze): Complete Level 6 in Zero-G Basketball. 
Merchant (Bronze): Collect 5 schematics. 
Armstrong (Bronze): TK shoot 50 objects. 
Marksman (Bronze): Dismember 5 Limbs. 
Surgeon (Bronze): Dismember 250 Limbs. 
Freeze (Bronze): Use Statis on 50 Enemies. 
Crackshot (Bronze): Achieve a perfect score in the Shooting Gallery. 
Air Alert (Bronze): Zero G jump over 100 times. 
Brawler (Bronze): Kill at least 50 enemies with a melee attack. 
Ragdoll Check (Bronze): Force an enemy into a gravity panel. 
Big Spender (Bronze): Spend 500,000 credits at the store. 
Full Contact (Bronze): Kill 20 enemies with the Contact Beam. 
A Cut Above (Bronze): Kill 20 enemies with the Ripper. 
Tool Time (Bronze): Kill 20 enemies with the Plasma Cutter. 
Pusher (Bronze): Kill 20 enemies with the Force Gun. 
Live with the Hot Ones (Bronze): Kill 20 enemies with the Flamethrower. 
Autofire (Bronze): Kill 20 enemies with the Pulse Rifle. 
Eviscerator (Bronze): Kill 20 enemies with the Line Gun. 
There's Always Peng (Bronze): Find the Peng Treasure. 
Survivor (Silver): Beat the game on any difficulty setting. 
Legend Teller (Silver): Collect all Logs. 
Full Arsenal (Silver): Own every Weapon in the game. 
Butcher (Silver): Dismember 500 Limbs. 
Epic Tier 3 Engineer (Gold): Complete the game on the hardest difficulty 
setting. 
One Gun (Gold): Beat the game using only the Plasma Cutter. 
Maxed Out (Gold): Upgrade all weapons and equipment. 
Platinum (Platinum): Unlock all other trophies to unlock this trophy