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