Here is the full list of all 43 Metal Gear Solid V: The Phantom Pain trophies - there are 27 bronze, 13 silver, 2 gold and 1 platinum.
Obtain all trophies.
Extract all wild animal species.
Dispose of a nuclear weapon.
Develop a nuclear weapon.
Complete all mission tasks.
Obtain all blueprints and key items.
Complete all missions with an S rank.
Complete all key Dispatch Missions.
Construct all available platforms for Mother Base.
Complete all missions.
Complete all SIDE OPS.
Obtain all memento photos.
Complete all "Mine Clearing" SIDE OPS.
Complete a mission using a Combat Unit staff member.
Develop 300 or more development items.
Raise all Teams/Units to level 50.
Raise bond with D-Horse to the maximum.
Obtain the codename "Hero."
Complete "TRUTH: THE MAN WHO SOLD THE WORLD" mission.
Complete "A QUIET EXIT" mission.
Play an "Infiltration" FOB mission.
Raise bond with D-Dog to the maximum.
Complete "SAHELANTHROPUS" mission.
Complete "METALLIC ARCHAEA" mission.
Complete "VOICES" mission.
Raise bond with Quiet to the maximum.
Complete "TRAITORS' CARAVAN" mission.
Develop 100 or more development items.
Earn a total of 10,000,000 GMP or more.
Make Quiet available for deployment.
Complete "HELLBOUND" mission.
Increase Mother Base staff to 250 or more personnel.
Make D-Dog available for deployment.
Extract a female prisoner.
Develop 50 or more development items.
Complete "WHERE DO THE BEES SLEEP?" mission.
Increase Mother Base staff to 50 or more personnel.
Interrogate an enemy soldier.
Complete a SIDE OP.
Fulton extract an enemy soldier.
Complete "PHANTOM LIMBS" mission.
Capture an outpost or guard post.
Complete "PROLOGUE: AWAKENING" mission.