Here is the full list of all 11 IN-VERT achievements worth 1,000 gamerscore. It takes around 1-2 hours to unlock all of the achievements on Xbox One.
Died for 666 times
Inverted for 1000 times
Inverted for 500 times
Jumped for 1000 times
Obtained 15 crystals
Finished world 3
Jumped for 500 times
Jumped for 100 times
Inverted for 72 times
Finished world 2
Finished world 1