Here is the full list of all 35 Quell achievements. It takes around 4-5 hours to unlock all of the achievements on Windows.
Retry a level 20 times
Complete every Quell level in perfect moves
Collect every jewel
Complete a shelf in perfect moves
Complete every Quell level
Complete 40 levels perfectly
Take over 10 minutes to complete a level
Complete the 1945 shelf
Spiked 20 times
Get stuck in a loop 5 times
Collect 200 pearls
Complete the 1943 shelf
Be spiked 10 times
Play for 1 hour
Die on a first move
Complete the 1941 shelf
Collect 150 pearls
Play for 30 minutes
Be spiked 3 times
Complete the 1939 shelf
Complete 20 levels perfectly
Collect 100 pearls
Push 10 blocks
Play for 10 minutes
Complete the 1937 shelf
Use the ring 5 times
Take twice as many moves as necessary
Complete a stage in perfect moves
Collect 50 pearls
Complete 10 levels perfectly
Complete the 1928 shelf
Push 2 sets of blocks together
Collect 25 pearls
Complete 3 levels perfectly
Complete a level in under 5 seconds