Here is the full list of all 14 Neverout achievements worth 1,000 gamerscore. It takes around 1-2 hours to unlock all of the achievements on Xbox One.
Teleport used 30 times
Box Level finished
Magnetic Levels finished
1000 squares in total moved
Teleport Levels finished
Electric Levels finished
The room rotated 100 times in total
Tutorial Levels finished
100 squares in total fell
Died killed by spikes
Died electrocuted
Box moved 100 squares in total
Died killed by a box
30 tiles moved on a single level plane