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