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