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