Here is the full list of all 16 SQR achievements.
Pass the 14th level.
Pass the 8th level.
Pass the random endless level.
Pass the 6th endless level.
Pass the 5th endless level.
Pass the 4th endless level.
Pass the 3rd endless level.
Pass the 2nd endless level.
Pass the 18th level.
Pass the 16th level.
Pass the 12th level.
Pass the 6th level.
Pass the 10th level.
Pass the 4th level.
Pass the 7th endless level.
Pass the 2nd level.