Here is the full list of all 53 Roots of Pacha achievements.
Gain 5 flowers with one NPC of each clan
Fully raise the pyramid
Raise the pyramid four times
Form a union and have a baby
Raise the pyramid three times
Cook 10 dishes
Light all dark rooms
Dance with all NPCs
Complete all Ideas
Complete the final cave challenge
Gain 100000 Contribution
Get to level 5 knowledge of any plant
Raise the pyramid twice
Complete Bear's cave challenge
Gain 10 flowers with one NPC
Fully upgrade your house
Complete Monkey's cave challenge
Tame 10 animals
Process 10 different types of products
Complete 10 Ideas
Discover 12 plants
Gain 5 flowers with one NPC
Gain 10000 Contribution
Upgrade your house once
Dance with one NPC
Catch 10 fish
Raise the pyramid once
Complete Owl's cave challenge
Complete the glyptodons cave challenge
Tame 1 animal
Have a pet
Cook 1 dish
Build your own house
Get to level 2 knowledge of any plant
Gain 1000 Contribution
Process 1 product
Complete 1 Idea
Catch 1 fish
Discover 1 plant
Catch all fish
Discover all plants
Get to level 5 knowledge for all plants
Tame 30 animals
Tame a rare animal
Tame a legendary animal
Gain 1000000 Contribution
Gain 10 flowers with one NPC from each clan
Cook all dishes
Produce 1 of every product type
Breed an animal to max stats
Stepping with the pack
Harness the full power of jewelry
Accidentally passout in a strange place