Here is the full list of all 49 Final Fantasy Type-0 HD achievements.
Forged a covenant with an Eidolon.
Collected 5 Knowing Tags.
Searched 3 surrendered imperial soldiers.
Defeated 300 enemies.
Captured a chocobo.
Cleared 3 missions.
Harvested 100 phantoma.
Dodged 500 enemy attacks.
Defeated an enemy with the explosion from a fuel tank.
Completed an SO.
Won an encounter in the overworld.
Completed Chapter 1 "War - Three Hours That Changed the World."
Took down 100 imperial soldiers.
Defeated 100 enemies.
Landed Killsight strikes on 20 enemies.
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 500 phantoma.
Forged covenants with 6 Eidolons.
Landed Killsight strikes on 100 enemies.
Won 50 encounters in the overworld.
Won a 5-battle chain encounter in the overworld.
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.
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.
Searched 15 surrendered imperial soldiers.