Here is the full list of all 11 Hexologic achievements worth 1,000 gamerscore. It takes around 1-2 hours to unlock all of the achievements on Xbox One.
You've completed 90 basic and 21 special levels in hard mode
You've completed 90 basic and 21 special levels
You've completed special levels of Forbidden Planet
You've completed cosmic special levels
You've completed all secret sky levels
You've completed special sky levels
You've completed special desert levels
You've completed special jungle levels
You've completed underwater special levels
You've completed 90 basic levels in hard mode
You've completed 90 basic levels