Here is the full list of all 13 Death Leak achievements.
Start your Journey
Access the Dojo
Escape with your life
Kill a stunned enemy with your sword
Kneel in the sacred waters
Play the Koto
Die in a fire
Find all Health Devils in a single playthrough
Learn the focus technique
Smash through a stone block
Learn the Roll technique
Deflect a Shuriken with your sword back at an enemy, killing them
Kill 5 enemies with 1 bomb