Full list of all 13 Lanternium achievements worth 1,000 gamerscore. It takes around 1-2 hours to unlock all of the achievements on Xbox One.
Finished 30 levels
Picked up 72 fireflies
Made 1000 steps
Picked up one scroll
Switched a color of lantern 150 times
Collected 30 cookies
Finished 10 levels
Picked up one key
Switched a color of lantern 72 times
Picked up a firefly
Finished a level
Fell behind an edge 30 times
Fell behind an edge 15 times