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