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