Here is the full list of all 43 The Solus Project achievements.
Swim far off shore
Hasn't picked up PDA until 5 minutes has passed
Phone home
Teleport 10 times in 30 seconds
Return to the Crossroad Island with an energy source
Collect 75 secrets
Find the energy source
Drink champagne 3 times
Jump into the Hotspot crater
Reach the island of Hotspot
Enter the massive ice cavern
Enter the Ice Path
Complete Highpoint
Collect 50 secrets
Reach the island of Highpoint
Complete the library
Return to the first caves after Flashpoint
Complete Flashpoint
Open 50 boxes
Reach the island of Flashpoint
Have seen the dolls that cannot be unseen
Get hit by a spike plant
Overcome the dark encounter
Start the Communication Tower
Find and pick up the music player
Find the ladder down
Survive a tornado
Extinguish a torch in water
Explore the backside of the first island
Collect your first secret
Complete your survival training
Set foot on the planet
Only eat alien food 10 times in a row
Find Milson
Blow up a torch in H2S without getting killed
Have 16 rocks in inventory
Collect all secrets
Show some love to rocks - smash 20 rocks together
Carry 10 pieces of Tower Pieces in your inventory
Get hit by lightning while holding a hammer
Fall for at least 5 seconds to your death
Dip your head in acid water
Read all stories