Here is the full list of all 10 The Way of the Pixelated Fist achievements.
Complete the trials within the 36th Chamber
Complete the trials within Chambers 29 through 35
Complete the trials within Chambers 15 through 21
Find and defeat Niet
Complete the trials within Chambers 22 through 28
Find and defeat Tetsuya
Complete the trials within Chambers 8 through 14
Find and defeat Min Jung
Complete the trials within Chambers 1 through 7
Find and defeat Ling