Here is the full list of all 51 Far Cry 3 trophies - there are 38 bronze, 10 silver, 2 gold and 1 platinum.
Obtain all the Trophies.
Kill an enemy with a takedown from above from a glider, zipline or parachute (Single Player only).
Kill 50 enemies with the flamethrower (Single Player only).
Win $1500 playing poker.
Complete "Payback" Co-op map (Online/Offline).
Complete "Lights Out" Co-op map (Online/Offline).
Kill a target from 70m or more with the bow (Single Player only).
Gather a total of 60 relics.
Complete "Rush Hour" Co-op map (Online/Offline).
Dive more than 60m (Single Player only).
Gather all "Letters of the Lost".
Craft a special syringe.
Gather all the memory cards.
Earn every tattoo by learning all the skills.
Liberate all outposts.
Freefall more than 100m and live (Single Player only).
Buy all attachments and paint jobs for one weapon.
Kill an enemy with the Repair Tool (Single Player only).
Complete "Overboard" Co-op map (Online/Offline).
Complete "Sidetracked" Co-op map (Online/Offline).
Complete "Ready or Not" Co-op map (Online/Offline).
Attend the final ceremony.
Kill Hoyt.
Complete Riley's interrogation.
Kill 4 enemies simultaneously with one explosion (Single Player only).
Find the lost Hollywood star.
Fully distract 25 enemies with rocks (Single Player only).
Use your wingsuit to reach the Southern island.
Kill Vaas.
Survive the encounter with Vaas and escape.
Rescue Keith from Buck.
Spend $5000 at the shop.
Rescue Oliver from the pirates.
Activate 9 radio towers.
Craft 25 syringes.
Beat any Trial of the Rakyat score.
Complete the Rakyat initiation.
Rescue Liza from the burning building.
Unlock 50 entries in the Survivor Guide.
Liberate 3 outposts.
Hunt and skin a rare animal.
Tag 25 enemies using the camera (Single Player only).
Liberate an outpost without triggering an alarm.
Earn 5 skill tattoos.
Craft 5 upgrades for your equipment.
Return to the doctor with the cave mushrooms.
Complete a Supply Drop quest.
Complete a Path of the Hunter quest.
Complete a WANTED Dead quest.
Lure and kill a predator.
Escape the pirates and survive in the wilderness.