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