Full list of all 12 DOOM (Arcade) achievements worth 200 gamerscore. It takes around 8-10 hours to unlock all of the achievements on Xbox 360.
Win a Nightmare level in single player
Get 50 kills on Xbox Live
Get 100 kills on Xbox Live
Find all items in level
Complete any level
Find a secret area of a map
Kill all monsters in level on 'Hurt Me Plenty' or higher
Complete Episode 1 on 'Hurt Me Plenty' or higher
Complete Episode 2 on 'Hurt Me Plenty' or higher
Complete Episode 3 on 'Hurt Me Plenty' or higher
Complete Episode 4 on 'Hurt Me Plenty' or higher
Complete all levels on UltraViolent mode