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