Here is the full list of all 50 Metal Gear Solid: Peace Walker HD Edition trophies - there are 39 bronze, 8 silver, 2 gold and 1 platinum.
Collected a soldier using a divine wind.
Read all of Paz's diary.
Customized ZEKE's head parts and foot parts with special AI weapon parts.
Obtained every costume.
Assembled all special staff members.
Heard a ghost on the radio.
Rolled 100 times or more in a single mission.
Cleared all MAIN OPS and EXTRA OPS missions at Rank S.
Cleared all EXTRA OPS missions at Rank S.
Cleared all EXTRA OPS missions at Rank A or higher.
Cleared "Capture the Enemy Base 06" in OUTER OPS using only soldiers.
Cleared all hunting quests.
Cleared all EXTRA OPS missions.
Reached 50 or more game overs.
Acquired stealth camouflage. Never worry about being detected ever again.
Nicely cooked a ration.
Acquired Infinity Bandana. Never worry about running out of bullets ever again.
Cleared all MAIN OPS missions at Rank S.
Cleared all MAIN OPS missions at Rank A or higher.
Defeated all AI weapons.
Obtained Rank S on a date with Kaz.
Reached 300 Fulton recoveries.
Read all of Strangelove's memoirs.
Cleared Chapter 5: Outer Heaven.
Threw a chaff grenade at ZEKE (single player only).
Complete Metal Gear ZEKE.
Obtained Rank S on a date with Paz.
Captured a mech.
Attacked enemy soldiers by blowing up an oil drum or truck (single player only).
Reached 100 kills.
Reached 100 hold-ups.
Cleared Chapter 4: The Illusion of Peace.
Defeated Pupa, Chrysalis, Cocoon, Peace Walker.
Cleared Chapter 3: A Nation Reborn.
Performed CQC six times in a row.
Performed a Leap of Faith.
Cleared Chapter 2: The Phantom Hero.
Reached at least 100 stun attacks or sleep-inducing attacks.
Read Huey's love letter.
Carried out a mission in OUTER OPS.
Cleared Chapter 1: A Country Without An Army.
Recruited Hideo Kojima.
Shot enemy right in the middle of the rear end.
Wearing a cardboard box gives you that feeling of inner peace.
Cleared Prologue: An Army Without Borders.
Obtained every trophy.
Carried out a trade.
Sent an item using Delivery.
Played using all of the rules in VERSUS OPS.
Reached a total of 20,000 or more Camaraderie.