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 all "Letters of the Lost".
Attend the final ceremony.
Kill Hoyt.
Complete Riley's interrogation.
Gather all the memory cards.
Liberate all outposts.
Earn every tattoo by learning all the skills.
Win $1500 playing poker.
Use your wingsuit to reach the Southern island.
Kill Vaas.
Find the lost Hollywood star.
Survive the encounter with Vaas and escape.
Rescue Keith from Buck.
Rescue Oliver from the pirates.
Complete the Rakyat initiation.
Rescue Liza from the burning building.
Gather a total of 60 relics.
Kill 50 enemies with the flamethrower (Single Player only).
Fully distract 25 enemies with rocks (Single Player only).
Dive more than 60m (Single Player only).
Craft a special syringe.
Freefall more than 100m and live (Single Player only).
Return to the doctor with the cave mushrooms.
Activate 9 radio towers.
Kill 4 enemies simultaneously with one explosion (Single Player only).
Spend $5000 at the shop.
Craft 25 syringes.
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).
Tag 25 enemies using the camera (Single Player only).
Beat any Trial of the Rakyat score.
Hunt and skin a rare animal.
Buy all attachments and paint jobs for one weapon.
Unlock 50 entries in the Survivor Guide.
Lure and kill a predator.
Craft 5 upgrades for your equipment.
Earn 5 skill tattoos.
Kill an enemy with the Repair Tool (Single Player only).
Liberate 3 outposts.
Complete a Supply Drop quest.
Complete a WANTED Dead quest.
Liberate an outpost without triggering an alarm.
Complete a Path of the Hunter quest.
Escape the pirates and survive in the wilderness.
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).