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