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