Here is the full list of all 29 The Five Cores Remastered achievements.
Survive the storm.
Access the temple.
Turn on the power.
Activate the red teleporter.
Activate the green teleporter.
Activate the blue teleporter.
Activate the yellow teleporter.
Teleport yourself to the necropolis.
Discover the cage.
Practice the fire ritual.
Cross the bridge.
Activate the red core.
Enter the bedroom.
Solve the panel puzzle.
Solve this puzzle.
Turn on the generator.
Activate the green core.
Play the organ.
Crack the code.
Activate the blue core.
Find the chef
Activate the yellow core.
Find your way through the labyrinth.
Open the gate.
Wake up Erinn!
Win the game.