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