Here is the full list of all 17 Recursive Ruin achievements.
Complete watching the credits for Recursive Ruin
Complete Recursive Ruin
Complete the mysterious fourteenth level.
Complete the thirteenth level.
Complete the twelfth level.
Complete the mysterious eleventh level.
Complete the tenth level.
Complete the ninth level.
Complete the eight level.
Complete the seventh level.
Complete the sixth level.
Complete the mysterious fifth level.
Complete the fourth level.
Complete the third level.
Complete the second level.
Complete the first level.
Start a new game.