Here is the full list of all 49 Final Fantasy Type-0 HD achievements.
Completed Chapter 1 "War - Three Hours That Changed the World."
Searched 3 surrendered imperial soldiers.
Took down 20 imperial soldiers.
Completed Chapter 2 "Raise the Vermilion Banner."
Completed Chapter 3 "Weapons of Mass Destruction."
Completed Chapter 4 "The Last Queen's Return to Oblivion."
Completed Chapter 5 "The First Battle of Judecca."
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.
Earned the "A Lonely Battle" bonus.
Earned the "A Select Few" bonus.
Earned an S-Rank on a mission.
Completed a mission without allowing any casualties.
Harvested 100 phantoma.
Harvested 500 phantoma.
Forged a covenant with an Eidolon.
Forged covenants with 6 Eidolons.
Landed Killsight strikes on 20 enemies.
Landed Killsight strikes on 100 enemies.
Defeated 100 enemies.
Defeated 300 enemies.
Took down 100 imperial soldiers.
Completed an SO.
Won an encounter in the overworld.
Won 50 encounters in the overworld.
Won a 5-battle chain encounter in the overworld.
Dodged 500 enemy attacks.
Cleared 3 missions.
Cleared 15 missions.
Avoided the penalty for failing an SO.
Collected 5 Knowing Tags.
Collected 25 Knowing Tags.
Acquired the airship "Setzer."
Shot down 50 enemies with the Setzer.
Captured a chocobo.
Captured 30 chocobos.
Hatched 5 chocobos at the chocobo ranch.
Hatched 100 chocobos at the chocobo ranch.
Completed a secret training session.
Defeated a total of 20 enemies in combat simulation sessions.
Defeated a total of 100 enemies in combat simulation sessions.
Liberated and visited all cities in the Dominion of Rubrum.
Sat in on one of Moglin's lectures.
Talked with the moogles from all thirteen classes.
Completed a mission using only Primed cadets.
Defeated an enemy with the explosion from a fuel tank.
Searched 15 surrendered imperial soldiers.