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