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