Here is the full list of all 23 Re:DESTINY achievements.
NEW_ACHIEVEMENT_DESC_2_7
Unlock all three passive skill trees.
Unlock all map destinations.
Complete Kuzunoha pursuit mission.
Unlock all spells.
Defeat Yao Bikuni second form.
NEW_ACHIEVEMENT_DESC_2_6
Defeat Kuzunoha.
Complete Himiko pursuit mission.
Defeat Himiko second form.
Unlock all Strength skill tree.
Complete Lady Aone pursuit mission.
Complete Abe no Seimei pursuit mission.
Defeat Anna.
Defeat Seimei.
Complete Yao Bikuni pursuit mission.
Defeat Yao Bikuni.
Unlock 3 spells.
Unlock first spell.
Defeat Lady Aone - Orochi form.
Defeat Lady Aone.
Defeat Himiko.
Create Eternal Talisman 50 times.