Here is the full list of all 49 Final Fantasy Type-0 HD achievements worth 1,000 gamerscore.
Complete Chapter 1 "War - Three Hours That Changed the World."
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.
Earn an S-Rank on a mission.
Complete a mission without allowing any casualties.
Harvest 100 phantoma.
Harvest 500 phantoma.
Forge a covenant with an Eidolon.
Forge covenants with 6 Eidolons.
Land Killsight strikes on 20 enemies.
Land Killsight strikes on 100 enemies.
Defeat 100 enemies.
Defeat 300 enemies.
Take down 20 imperial soldiers.
Take down 100 imperial soldiers.
Complete an SO.
Win an encounter in the overworld.
Win 50 encounters in the overworld.
Win a 5-battle chain encounter in the overworld.
Dodge 500 enemy attacks.
Clear 3 missions.
Clear 15 missions.
Avoid the penalty for failing an SO.
Collect 5 Knowing Tags.
Collect 25 Knowing Tags.
Acquire an airship.
Shoot down 50 enemies with the airship.
Capture a chocobo.
Capture 30 chocobos.
Hatch 5 chocobos at the chocobo ranch.
Hatch 100 chocobos at the chocobo ranch.
Complete a secret training session.
Defeat a total of 20 enemies in combat simulation sessions.
Defeat a total of 100 enemies in combat simulation sessions.
Reclaim and visit all cities in the Dominion of Rubrum.
Sit in on one of Moglin's lectures.
Talk with the moogles from all thirteen classes.
Complete a mission using only Primed cadets.
Defeat an enemy with the explosion from a fuel tank.
Search 3 surrendered imperial soldiers.
Search 15 surrendered imperial soldiers.