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