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