Here is the full list of all 37 Eden Rising: Supremacy achievements.
Acquire the first part of the God Equation
Defeat a unique creature in his burrow.
Complete a siege at the Crucible to the east.
Complete a siege at the Crucible far to the north.
Defeat one of the massive creatures dwelling on the Causeway.
Complete a siege at the Crucible to the west.
Complete the hidden challenge of the Ascendants.
Visit the Ascendant ruins nestled at the highest altitude.
Defeat an alpha predator of the Fungal Preserve.
Gather your fellow Wardens, interact with the Crucible at the center of the Valley to initiate a reboot sequence, and successfully fend off the creatures that attack.
Find a Datakey in the wild.
Learn Metallurgy from the Valley Crucible, then acquire Mana Rocks from the beach and craft an Extraction Glove to gather.