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