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