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