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