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