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