Here is the full list of all 9 A Divine Guide To Puzzle Solving achievements.
Collect the Swap Power.
Enter the first level of the underworld.
Complete the game.
Die for the first time.
Push the secret button in the Room of Transition.
Drop something off the edge of a level.
Leave through the portal during Toblas's final monologue.
Shoot Tobla's eye with the Swap Beam.
Try to take something with you through a cosmic portal.