Here is the full list of all 52 Phoning Home achievements.
Cherish life in all its shapes and forms
Keep ANI under constant Coating in the desert
Keep ANI under constant Coating on the glacier
Keep ANI under constant Coating at the sea
Keep ANI under constant Coating in the volcano
Complete the game with ANI having less than 20% corrosion
Come to a final decision
I phoned home and all I got was this ...
Find a safe passage through dangerous waters
Discover the alien Mothership
Leave ANI behind when passing through a planet portal
Use the thruster 250 times
Disover the failed expedition camp
It's all snow and ice
Defeat 50 Hostiles
Rescue ANI from the beast
Set foot into the Skyscraper
Craft all available improvements for ION and ANI
Explore an old cave
Fall into an abyss and survive
Find the Alien Graveyard
Find a safe passage through the desert
Defeat 10 Hostiles
Find and scan Tetrerium
Setup a Tumbler trap
Decrypt an alien text fragment
Craft 5 improvements
Find the alien junkyard
Discover ANI
Overcome the Watchers
Defeat a Hostile
Use the thruster 25 times
The night is dark and full of terrors
Discover planetary life
Find and decrypt all alien text fragments
Lure 10 Tumblers into traps
Complete the game without harming anything
Complete the game with ANI having a corrosion level between 20% an 50%
Complete the game with ANI having more than 50% corrosion
Find and scan all available Tetrerium
Find and scan every single Seed available
Reach the desert without healing once
Reach the glacier without healing once
Reach the volcano without healing once
Finish the game without healing once
Leave ANI behind 3 times when passing through a planet portal
Use every single portal inside the Volcano
Use less than 10 fuel through the whole game
Use less than 10 power cells through the whole game
Use the thruster 500 times
Get to the top of the mushroom tree before entering the volcano
Climb all the way up the skyscraper