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