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