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