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