Here is the full list of all 53 The Legend of Heroes: Trails of Cold Steel III achievements.
Mastered Trails of Cold Steel III and earned every achievement.
Completely filled the battle section in the notebook.
Won 600 battles.
Completed the game on nightmare difficulty.
Completed the final chapter.
Acquired over a million mira.
Initiated 300 advantage encounters (including double and triple advantage).
Raised any two characters to Link Level 5.
Opened every treasure chest.
Completely filled the character section in the notebook.
Completely filled the books section in the notebook.
Achieved an academy grade of Prestigious.
Completed all quests, both at the branch campus and during field exercises.
Gathered all 28 varieties of master quartz.
Completed Chapter 4.
Achieved instructor rank S.
Collected all radio material and reported it to Munk.
Forged a strong bond with Machias.
Forged a strong bond with Millium.
Forged a strong bond with Towa.
Forged a strong bond with Jusis.
Forged a strong bond with Fie.
Forged a strong bond with Gaius.
Forged a strong bond with Laura.
Forged a strong bond with Emma.
Forged a strong bond with Musse.
Forged a strong bond with Elliot.
Forged a strong bond with Ash.
Forged a strong bond with Elise & Alfin.
Forged a strong bond with Altina.
Forged a strong bond with Sara.
Forged a strong bond with Juna.
Forged a strong bond with Kurt.
Completely filled the fish section in the notebook. (All 25 types of fish + Rod Lv. Max)
Completely filled the recipe section in the notebook.
Forged a strong bond with Alisa.
Took all landscape photos and reported them to Vivi.
Completely filled the cards section in the notebook.
Completed Chapter 3.
Raised a master quartz to level 7.
Inflicted Break over 800 times.
Completed Chapter 2.
Used Burst in battle 50 times.
Used over 500 follow-up attacks in battle.
Won a battle with a tactical bonus of x3.0 or greater.
Used Brave Order in battle over 100 times.
Used 100 S-Crafts in battle.
Used Rush in battle 100 times.
Completed Chapter 1.
Earned an S-Rank on any chapter.
Won 100 battles.
Completed the prologue.
Completed the orienteering exercise.