Here is the full list of all 38 Quell Reflect achievements. It takes around 2-3 hours to unlock all of the achievements on Windows.
Complete every level in perfect moves
Complete every level
Collect every jewel
Complete the 1974 shelf
Collect 200 pearls
Complete the 1972 shelf
Complete a level requiring 4 drops
Collect 150 pearls
Complete the 1970 shelf
Close 50 gates
Complete 40 levels perfectly
Complete the 1967 shelf
Poison 2 drops in order to continue
Collect 100 pearls
Break 3 gold blocks in one level
Break 15 gold blocks
Spiked 15 times
Complete a level requiring 3 drops
Retry a level 10 times
Complete the 1964 shelf
Complete 20 levels perfectly
Get stuck in a loop 5 times
Spiked 5 times
Push 10 spikes
Merge drops 3 times
Collect 50 pearls
Spike a poisoned drop
Complete the 1962 tutorial shelf
Complete a shelf in perfect moves
Use the ring 10 times
Complete 10 levels perfectly
Push 4 sets of blocks together
Sacrifice a drop in order to continue
Collect 25 pearls
Complete a level requiring 2 drops
Complete a stage in perfect moves
Complete 3 levels perfectly
Complete a level in under 6 seconds