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