Here is the full list of all 50 Final Fantasy Type-0 HD trophies - there are 38 bronze, 9 silver, 2 gold and 1 platinum.
Completed Chapter 5 "The First Battle of Judecca."
Earned an S-Rank on a mission.
Earned the "A Lonely Battle" bonus.
Completed Chapter 4 "The Last Queen's Return to Oblivion."
Earned the "A Select Few" bonus.
Searched 15 surrendered imperial soldiers.
Completed Chapter 3 "Weapons of Mass Destruction."
Hatched 100 chocobos at the chocobo ranch.
Hatched 5 chocobos at the chocobo ranch.
Captured 30 chocobos.
Completed Chapter 2 "Raise the Vermilion Banner."
Cleared 3 missions.
Harvested 500 phantoma.
Landed Killsight strikes on 100 enemies.
Forged a covenant with an Eidolon.
Collected 5 Knowing Tags.
Searched 3 surrendered imperial soldiers.
Completed an SO.
Captured a chocobo.
Won 50 encounters in the overworld.
Defeated a total of 100 enemies in combat simulation sessions.
Defeated 300 enemies.
Defeated a total of 20 enemies in combat simulation sessions.
Dodged 500 enemy attacks.
Completed a secret training session.
Talked with the moogles from all thirteen classes.
Took down 100 imperial soldiers.
Harvested 100 phantoma.
Sat in on one of Moglin's lectures.
Won a 5-battle chain encounter in the overworld.
Landed Killsight strikes on 20 enemies.
Completed a mission without allowing any casualties.
Defeated an enemy with the explosion from a fuel tank.
Defeated 100 enemies.
Won an encounter in the overworld.
Completed Chapter 1 "War - Three Hours That Changed the World."
Took down 20 imperial soldiers.
Obtained all trophies.
Completed Chapter 6 "Terra Mortis - Khalia's Decision."
Completed Chapter 7 "Fate of the Crystal - The Endless Battle."
Completed Chapter 8 "Verdict: Finis."
Earned the "An Army of One" bonus.
Forged covenants with 6 Eidolons.
Cleared 15 missions.
Avoided the penalty for failing an SO.
Collected 25 Knowing Tags.
Acquired the airship "Setzer."
Shot down 50 enemies with the Setzer.
Liberated and visited all cities in the Dominion of Rubrum.
Completed a mission using only Primed cadets.