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