Here is the full list of all 49 Final Fantasy Type-0 HD achievements.
Harvested 500 phantoma.
Completed Chapter 2 "Raise the Vermilion Banner."
Forged a covenant with an Eidolon.
Landed Killsight strikes on 20 enemies.
Searched 3 surrendered imperial soldiers.
Captured a chocobo.
Defeated 300 enemies.
Won 50 encounters in the overworld.
Hatched 5 chocobos at the chocobo ranch.
Harvested 100 phantoma.
Won a 5-battle chain encounter in the overworld.
Earned an S-Rank on a mission.
Cleared 3 missions.
Took down 100 imperial soldiers.
Sat in on one of Moglin's lectures.
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.
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.
Forged covenants with 6 Eidolons.
Landed Killsight strikes on 100 enemies.
Completed an SO.
Dodged 500 enemy attacks.
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 30 chocobos.
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.
Talked with the moogles from all thirteen classes.
Completed a mission using only Primed cadets.
Searched 15 surrendered imperial soldiers.