Here is the full list of all 20 Ikai achievements.
Complete the first purification ritual
Reach the unholy shrine
Wake up after the opening of the gate
Write three seals for the villagers
Escape from the forest
Complete the second purification ritual
Complete the third purification ritual
Wield the murder weapon
Complete the ultimate ritual
Tag your sister in less than 1 minute
Don’t get burned on the way to the shrine
Toss the coin from a far distance
Go unnoticed escaping from the forest
Get the right instrument in a single attempt
Complete every seal without losing or repeating it
Break every destructible object with the katana
Get the katana in less than 1 minute
Get all the collectibles
Get all the yokai pages
Draw the correct pattern without any mistake