Here is the full list of all 25 Puzzle Dimension achievements. It takes around 15-20 hours to unlock all of the achievements on Windows.
Solve every puzzle in the game
Complete all puzzles in the cluster The End
Unpixelate all blocks in the game
Get a total score of 50,000
Complete all puzzles in the cluster Mix
Complete all puzzles in the cluster Revisited
Complete all puzzles in the cluster Flat
Get a total score of 25,000
Complete all puzzles in the cluster Bends
Get a multiplier of 32
Complete all puzzles in the cluster Hidden Blocks
Complete all puzzles in the cluster Shifting Sands
Score over 1,000 in a puzzle
Get a total score of 10,000
Complete all puzzles in the cluster Toggled Blocks
Complete all puzzles in the cluster Jump in the Fire
Score over 500 in a puzzle
Get a multiplier of 16
Score over 250 in a puzzle
Get a multiplier of 8
Score over 190 on the first puzzle in Broken Ice
Complete the tutorial
Complete all puzzles in the cluster Broken Ice
Complete five puzzles
Score over 100 in a puzzle