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