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