Here is the full list of all 15 DOOM VFR achievements.
Complete the first level
Use a Weapon Upgrade Station
Use an Argent Cache
Shoot down 30 projectiles
Teleport 1000 times
Telefrag into 25 demons
Telefrag into a Possessed Engineer and explode
Complete all of the hacking minigames
Complete the first laser minigame
Fully upgrade a single Combat Chassis subsystem
Acquire all weapons
Put out the fires in the BFG central chamber
Travel to Hell
Collect all of the DoomGuy Dolls
Complete the single player campaign on any difficulty