Here is the full list of all 44 DOOM 3 achievements worth 1,000 gamerscore. It takes around 25-30 hours to unlock all of the achievements on Xbox One.
Keep a Sentry Bot alive to its destination in DOOM 3, RoE, or Lost Mission (except Mars City)
Defeat the Vagary boss in DOOM 3
Blow up 50 barrels in the DOOM 3, RoE, or Lost Mission campaigns
Get 2 demons to fight each other in DOOM 3, RoE, or Lost Mission
Kill an enemy with 1 health remaining in DOOM 3, RoE, or Lost Mission
Use the chainsaw to kill 20 enemies in DOOM 3
Defeat Guardian boss in DOOM 3
Defeat Sabaoth boss in DOOM 3
Kill the scientist trapped next to the Reactor Control Room in DOOM 3
Defeat Cyberdemon boss in DOOM 3
Complete the DOOM 3 campaign on Recruit
Defeat the Helltime Hunter in RoE
Get the BFG-9000 from Security Chief's office in DOOM 3
Find the bloody handiwork of Betruger (in Delta 4 Hallway) in DOOM 3
Complete the DOOM 3 campaign on Marine
Use the Soul Cube to defeat 20 enemies in DOOM 3
Kill 20 enemies with the fists/melee hands in DOOM 3
Defeat the Berserk Hunter in RoE
Complete the DOOM 3 campaign in 10 hours or less
Defeat the Invulnerability Hunter in RoE
Complete the Lost Mission campaign on Recruit
Score 25000 on Super Turbo Turkey Puncher 3 in DOOM 3 or RoE
Find the id logo secret room in DOOM 3
Complete the RoE campaign on Recruit
Defeat the Maledict boss in RoE
Complete the Lost Mission campaign on Marine
Collect every PDA in the Lost Mission campaign
Complete the RoE campaign on Marine
Kill 20 enemies with projectiles launched from the Grabber in RoE
Open all storage lockers in DOOM 3
Complete the DOOM 3 campaign on Veteran
Kill 2 Imps with one shotgun blast in DOOM 3, RoE, or Lost Mission
Complete a level without taking any damage in DOOM 3, RoE, or Lost Mission (except Mars City)
Complete the Lost Mission campaign on Veteran
Kill 5 enemies at once while in Hell Time in RoE
Collect every PDA in the RoE campaign
Complete the RoE campaign on Veteran
Find the RAGE logo in the Lost Mission
Find all video logs in DOOM 3
Use the Artifact with Berserk ability to punch out 20 enemies in RoE
Collect every PDA in DOOM 3
Complete the DOOM 3 campaign on Nightmare
Complete the Lost Mission campaign on Nightmare
Complete the RoE campaign on Nightmare