Here is the full list of all 51 Lost Planet 3 trophies - there are 38 bronze, 10 silver, 2 gold and 1 platinum.
Purchase First Rig Upgrade.
Planted your First T-Post.
Rescued the Trapped Scientists.
First Weapon Upgrade Purchased.
Secured the Moorings.
Emptied your First T-Post.
Defended Laroche.
Got your Rig.
Found a Log.
Saved by Laroche.
Unlocked all Sphere Cells.
Won 25 Multiplayer Matches.
Unlocked 30 Sphere Cells.
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.
Won every Scenario.
Destroyed Satellite Array.
Get a kill while on the Battlecat.
Delivered The T-Eng Canister 2 times during a multiplayer Outpost Scenario match.
Unlocked Sphere Cell.
Won a Multiplayer Match.
Delivered the T-Eng Canister to win a multiplayer Quarantine Scenario match.
Perform your first Stealth Kill in a Multiplayer Game.
Unlock all Trophies.
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.
Planted every Post.
Bought every Weapon and Rig Upgrade.
Fully Unlocked Bestiary.
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.