Here is the full list of all 45 DOOM 3 trophies - there are 30 bronze, 11 silver, 3 gold and 1 platinum.
Use the Artifact with Berserk ability to punch out 20 enemies in RoE
Complete the RoE campaign on Recruit
Complete the RoE campaign on Marine
Defeat the Maledict boss in RoE
Defeat the Invulnerability Hunter in RoE
Defeat the Berserk Hunter in RoE
Kill 5 enemies at once while in Hell Time in RoE
Kill 20 enemies with projectiles launched from the Grabber in RoE
Defeat the Helltime Hunter in RoE
Complete the Lost Mission campaign on Recruit
Complete the Lost Mission campaign on Marine
Find the RAGE logo in the Lost Mission
Collect every PDA in the Lost Mission campaign
Score 25000 on Super Turbo Turkey Puncher 3 in DOOM 3 or RoE
Complete the DOOM 3 campaign on Recruit
Complete the DOOM 3 campaign on Marine
Complete the DOOM 3 campaign in 10 hours or less
Defeat Cyberdemon boss in DOOM 3
Find the id logo secret room in DOOM 3
Defeat Sabaoth boss in DOOM 3
Use the Soul Cube to defeat 20 enemies in DOOM 3
Defeat Guardian boss in DOOM 3
Find the bloody handiwork of Betruger (in Delta 4 Hallway) in DOOM 3
Get the BFG-9000 from Security Chief's office in DOOM 3
Get 2 demons to fight each other in DOOM 3, RoE, or Lost Mission
Kill 2 Imps with one shotgun blast in DOOM 3, RoE, or Lost Mission
Kill 20 enemies with the fists/melee hands in DOOM 3
Use the chainsaw to kill 20 enemies in DOOM 3
Kill an enemy with 1 health remaining in DOOM 3, RoE, or Lost Mission
Blow up 50 barrels in the DOOM 3, RoE, or Lost Mission campaigns
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
Kill the scientist trapped next to the Reactor Control Room in DOOM 3
Earn all 45 Trophies
Complete the DOOM 3 campaign on Veteran
Complete the DOOM 3 campaign on Nightmare
Collect every PDA in DOOM 3
Find all video logs in DOOM 3
Open all storage lockers in DOOM 3
Complete a level without taking any damage in DOOM 3, RoE, or Lost Mission (except Mars City)
Complete the RoE campaign on Veteran
Complete the RoE campaign on Nightmare
Collect every PDA in the RoE campaign
Complete the Lost Mission campaign on Veteran
Complete the Lost Mission campaign on Nightmare