Here is the full list of all 22 Monsters of Kanji achievements.
Clear Chapter 1
Clear Chapter 2
Clear Chapter 3
Clear Chapter 4
Clear Chapter 5
Clear Chapter 6
Clear Chapter 7
Clear Chapter 8
Unlock 100 words
Unlock 1000 words
Unlock all 1900 words
Unlock your first monster data
Unlock data of 50 monsters
Unlock data of all 112 monsters
Clear your first quest
Clear 10 quests
Clear all quests
Find all hidden mole idols
Discover every area on the world map
Participate in 500 battles
Defeat Ironashi
Defeat the Ancient One