Here is the full list of all 49 Final Fantasy Type-0 HD achievements.
Captured a chocobo.
Won 50 encounters in the overworld.
Defeated a total of 20 enemies in combat simulation sessions.
Completed Chapter 2 "Raise the Vermilion Banner."
Collected 25 Knowing Tags.
Harvested 500 phantoma.
Forged a covenant with an Eidolon.
Searched 15 surrendered imperial soldiers.
Hatched 5 chocobos at the chocobo ranch.
Dodged 500 enemy attacks.
Won a 5-battle chain encounter in the overworld.
Completed a secret training session.
Sat in on one of Moglin's lectures.
Completed a mission without allowing any casualties.
Cleared 3 missions.
Defeated 300 enemies.
Landed Killsight strikes on 100 enemies.
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."
Harvested 100 phantoma.
Took down 100 imperial soldiers.
Defeated 100 enemies.
Collected 5 Knowing Tags.
Landed Killsight strikes on 20 enemies.
Searched 3 surrendered imperial soldiers.
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.
Earned an S-Rank on a mission.
Forged covenants with 6 Eidolons.
Cleared 15 missions.
Avoided the penalty for failing an SO.
Acquired the airship "Setzer."
Shot down 50 enemies with the Setzer.
Captured 30 chocobos.
Hatched 100 chocobos at the chocobo ranch.
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.