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