Here is the full list of all 32 Vertigo Remastered achievements.
Beat the game without upgrades
Kill an enemy by throwing something heavy at them
Take the shortcut out of the containment zone
Complete the game
Find and collect every Quantum Juice cache
Acquire a minigun
Deface a statue
Bring a friend to the surface with you
Defeat the Mudrunner Queen
Achieve a new perspective
Clear the gas out of the toxic maze
Get lost in the toxic maze
Enter VR in VR
Steal (and crash) a Planck dropship
Go... ...fishing
Do a high dive
Lie down in a bed
Take the wrong escalator
Dispatch Frank the amorphous apex predator
Catch a grenade
Encounter Kauboi
Escape Big Richard
Kill a forklift driver
Free the restrained Handyman in the Exobiology Dept.
Fully upgrade your firepower
Fill out the entire upgrade tree
Fully upgrade your locomotion
Defeat the Centipod
Get killed by the first boss
Discover the Autonican prophecy
Burn to death
Acquire the Spacetime Manipulator