Here is the full list of all 49 Final Fantasy Type-0 HD (AU/EU) achievements worth 1,000 gamerscore.
Won 50 encounters in the overworld.
Defeated 300 enemies.
Earned an S-Rank on a mission.
Cleared 3 missions.
Landed Killsight strikes on 20 enemies.
Sat in on one of Moglin's lectures.
Harvested 100 phantoma.
Earned the "A Select Few" bonus.
Completed a mission without allowing any casualties.
Completed a mission using only Primed cadets.
Searched 3 surrendered imperial soldiers.
Collected 5 Knowing Tags.
Talked with the moogles from all thirteen classes.
Took down 100 imperial soldiers.
Defeated 100 enemies.
Won an encounter in the overworld.
Completed Chapter 1 "War - Three Hours That Changed the World."
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.
Harvest 500 phantoma.
Forge a covenant with an Eidolon.
Forge covenants with 6 Eidolons.
Land Killsight strikes on 100 enemies.
Complete an SO.
Win a 5-battle chain encounter 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 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.
Defeat an enemy with the explosion from a fuel tank.
Search 15 surrendered imperial soldiers.