Here is the full list of all 32 Down n' Up achievements.
Collect your first star.
Collect 3 stars.
Collect 5 stars.
Collect 9 stars.
Collect 16 stars.
Collect the star of all stars.
It kinda hurts.
It does hurt, yeah.
It REALLY hurt.
The pain is unbearable.
Pain is a social construct. I'm fine, really.
You have surpassed the Awakening Plateau.
You have surpassed the Opening Hills.
You have surpassed the Tempo Cliff.
You have surpassed the Gravity Crossing.
You have surpassed the Weathering Peak.
You have surpassed the Wormhole High.
You have reached an altitude of 10,000m.
You have reached an altitude of 25,000m.
You have reached an altitude of 45,000m.
You have reached an altitude of 60,000m.
You have reached an altitude of 75,000m.
You have jumped 200 times.
You have jumped 1000 times.
You have jumped 5,000 times.
Skiper, stop skiping!
Bzzzzzz bzzzzzz.
Of everything that stands, the end.
Life is an eternal return.
You really pushed that rock to the top again, didn't you?
You beat the dev at his own game.
You beat your very own ghost.