Here is the full list of all 51 Lost Planet 3 trophies - there are 38 bronze, 10 silver, 2 gold and 1 platinum.
Unlock all Trophies.
Finished the Game on Hard Difficulty.
Finished the Game on Any Difficulty.
Stopped Isenberg for Good.
Watched Coronis Fall.
Defeated Laroche.
Finished Kovac's Quests.
Bought every Weapon and Rig Upgrade.
Found all Logs.
Purchased all Ethologist Upgrades.
Discovered Nushi.
Restored the Fueling Depot.
Fully Unlocked Bestiary.
Killed the Gorevorgg.
Planted every Post.
Found all Mementos.
Discovered the Lost Contractor's Fate.
Found a Memento.
Tagged an Albino Tarkaa.
Took Storm Readings.
Completed Deep Core Drilling.
Stopped the Akrid infestation.
Opened the Armory.
Returned the Medicine.
Killed a Cat-G Akrid with the Rig.
Found a Mysterious Structure.
Found 50% of Logs.
Purchase First Rig Upgrade.
Brought the Com-Dish Online.
First Weapon Upgrade Purchased.
Planted your First T-Post.
Rescued the Trapped Scientists.
Secured the Moorings.
Emptied your First T-Post.
Defended Laroche.
Got your Rig.
Found a Log.
Saved by Laroche.
Unlocked all Sphere Cells.
Killed 20 Wardeyes during a multiplayer Research Lab Akrid Survival match.
Won 25 Multiplayer Matches.
Unlocked 30 Sphere Cells.
Destroyed Satellite Array.
Delivered the T-Eng Canister 3 times during a multiplayer Alpha Lair Scenario match.
Delivered The T-Eng Canister 2 times during a multiplayer Outpost Scenario match.
Won every Scenario.
Unlocked Sphere Cell.
Get a kill while on the Battlecat.
Perform your first Stealth Kill in a Multiplayer Game.
Won a Multiplayer Match.
Delivered the T-Eng Canister to win a multiplayer Quarantine Scenario match.