Here is the full list of all 49 Final Fantasy Type-0 HD achievements worth 1,000 gamerscore.
Forged a covenant with an Eidolon.
Collected 5 Knowing Tags.
Searched 3 surrendered imperial soldiers.
Captured a chocobo.
Talked with the moogles from all thirteen classes.
Defeated 300 enemies.
Landed Killsight strikes on 100 enemies.
Defeated a total of 100 enemies in combat simulation sessions.
Completed a secret training session.
Harvested 100 phantoma.
Defeated a total of 20 enemies in combat simulation sessions.
Earned an S-Rank on a mission.
Completed a mission without allowing any casualties.
Cleared 3 missions.
Sat in on one of Moglin's lectures.
Defeated an enemy with the explosion from a fuel tank.
Took down 100 imperial soldiers.
Completed an SO.
Defeated 100 enemies.
Won a 5-battle chain encounter in the overworld.
Won an encounter in the overworld.
Completed Chapter 1 "War - Three Hours That Changed the World."
Landed Killsight strikes on 20 enemies.
Took down 20 imperial soldiers.
Complete Chapter 2 "Raise the Vermilion Banner."
Complete Chapter 3 "Weapons of Mass Destruction."
Complete Chapter 4 "The Last Queen's Return to Oblivion."
Complete Chapter 5 "The First Battle of Judecca."
Complete Chapter 6 "Terra Mortis - Khalia's Decision."
Complete Chapter 7 "Fate of the Crystal - The Endless Battle."
Complete Chapter 8 "Verdict: Finis."
Earn the "An Army of One" bonus.
Earn the "A Lonely Battle" bonus.
Earn the "A Select Few" bonus.
Harvest 500 phantoma.
Forge covenants with 6 Eidolons.
Win 50 encounters in the overworld.
Dodge 500 enemy attacks.
Clear 15 missions.
Avoid the penalty for failing an SO.
Collect 25 Knowing Tags.
Acquire an airship.
Shoot down 50 enemies with the airship.
Capture 30 chocobos.
Hatch 5 chocobos at the chocobo ranch.
Hatch 100 chocobos at the chocobo ranch.
Reclaim and visit all cities in the Dominion of Rubrum.
Complete a mission using only Primed cadets.
Search 15 surrendered imperial soldiers.