Here is the full list of all 14 Tumbleweed Destiny achievements.
Completed your first rebirth.
Completed the rebirth 3 times.
Completed the rebirth 6 times.
Completed the rebirth 10 times.
Defeated the monster.
Defeated monster 10 times.
Defeated monster 20 times.
Defeated monster 30 times.
Destroyed cactus.
Destroyed cactus 20 times.
Destroyed cactus 40 times.
Destroyed cactus 60 times.
Saved the Earth.
Could not save the Earth.