Here is the full list of all 25 Kana Quest achievements.
Get a gold medal for every level in world 1.
Spell out the word for "middle" in Japanese
Get a gold medal for every level in world 2.
Get a gold medal for every level in world 3.
Get a gold medal for every level in world 4.
Get a gold medal for every level in world 5.
Get a gold medal for every level in world 6.
Get a gold medal for every level in world 7.
Get a gold medal for every level in world 8.
Get a gold medal for every level in world 9.
Get a gold medal for every level in world 10.
Get a gold medal for every level in world 11.
Get a gold medal for every level in world 12.
Get a gold medal for every level in world 13.
Get a bronze medal or better for every level in Kana Quest.
Get a gold medal for every level in Kana Quest.
Spell out the word "I" in Japanese
Spell out the word for "black" in Japanese.
Spell out the word for "white" in Japanese.
Spell out the word for "dog" in Japanese.
Spell out the word for "cat" in Japanese.
Spell out the word for "Japan" in Japanese.
Spell out the word for "to do" in Japanese.
Spell out the word for "100" in Japanese.
Spell out the word for "to write" in Japanese.