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