Here is the full list of all 40 ICARUS achievements.
Reach the bottom of a talent tree
First time killed by a bear
Complete the tutorial
First time your prospector dies
Burn down a shelter
Catch a fish with a bow and arrow
Pick up a stick, stone, or oxite
Kill the Sandworm Boss on the Hardest Difficulty
Kill the Landshark Boss on the Hardest Difficulty
Kill the Scorpion Boss on the Hardest Difficulty
Kill the Alpha Wolf Boss on the Hardest Difficulty
Complete every Styx Mission
Complete every Olympus Mission
Collect 10000 Credits
Collect 10000 Exotics
Unlock all blueprints in T1
Unlock all blueprints in T2
Unlock all blueprints in T3
Unlock all blueprints in T4
Catch one of every fish
Unlock all the creatures in the Bestiary (Max Rank)
Get struck by lightning
Get struck by lighting… again
Kill a Deer with a grenade
Revive a downed prospector
Kill 250 Zebra
Break a crate with a grenade
Kill another prospector
Reach the Level Cap
Get 10,000 Melee Kills
Get 10,000 Bow & Arrow Kills
Get 10,000 Gun Kills
Get 1000 Stealth Critical hit kills
Harvest one of every plant
Mine every type of ore
Cook every item of Food
Alter an item
Explore every biome
Activate the Thumper
Equip a full set of armor