Here is the full list of all 12 Gallery of Things: Reveries achievements.
Complete a Stage Without Using any Hints.
Finish 12 Levels.
Finish 24 Levels.
Finish all 36 Levels.
Complete a Click To Cycle Minigame.
Complete a Sort Minigame.
Complete a Deconstruct Minigame.
Complete a Drag-to-Align Minigame.
Complete a Drag-to-Order Minigame.
Complete a Drag-and-Sort.
Complete a Jigsaw Minigame.
Complete a Sudoku Minigame.