Here is the full list of all 13 Verlet Ascend achievements.
Gain 50 coins in one level.
Finish a level with no kills.
Kill 20 enemies in one level.
Don't land on the ground for 60 seconds.
Spend 30 seconds under water in a single run.
Heal 5 times at the end of a level.
Eat 10 carrots in a single run.
Finish a level with "Gold Timing".
Refresh 3 times at the end of a level.
Start a run with at least 15 enabled perks.
Unlock all of the 10 slots.
Sell 3 perks at the end of a level.
Kill an enemy for the first time.