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.
Dispose of a nuclear weapon.
Develop a nuclear weapon.
Extract all wild animal species.
Raise bond with D-Horse to the maximum.
Construct all available platforms for Mother Base.
Complete all key Dispatch Missions.
Complete all SIDE OPS.
Develop 300 or more development items.
Obtain all memento photos.
Complete all "Mine Clearing" SIDE OPS.
Complete "TRUTH: THE MAN WHO SOLD THE WORLD" mission.
Raise all Teams/Units to level 50.
Complete "A QUIET EXIT" mission.
Obtain the codename "Hero."
Complete "SAHELANTHROPUS" mission.
Complete "METALLIC ARCHAEA" mission.
Play an "Infiltration" FOB mission.
Raise bond with Quiet to the maximum.
Complete "VOICES" mission.
Raise bond with D-Dog to the maximum.
Earn a total of 10,000,000 GMP or more.
Complete "TRAITORS' CARAVAN" mission.
Make Quiet available for deployment.
Develop 100 or more development items.
Complete "HELLBOUND" mission.
Make D-Dog available for deployment.
Complete a mission using a Combat Unit staff member.
Increase Mother Base staff to 250 or more personnel.
Complete "WHERE DO THE BEES SLEEP?" mission.
Extract a female prisoner.
Develop 50 or more development items.
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.
Obtain all trophies.
Complete all missions.
Complete all mission tasks.
Complete all missions with an S rank.
Obtain all blueprints and key items.