Here is the full list of all 44 Red Faction trophies - there are 30 bronze, 11 silver, 2 gold and 1 platinum.
Kill 25 enemies with the fusion rocket launcher.
Kill 25 enemies through a wall with the rail driver.
Complete the campaign on Easy.
Kill Masako and defuse the bomb.
Make your escape from the mercs' prison.
Destroy the space station and save the EDF fleet.
Hitch a ride to the space station.
Kill 50 enemies with the sniper rifle.
Kill 25 enemies with the heavy machine gun.
Kill 50 security guards who are audibly trying to surrender.
Kill 25 enemies with the precision rifle.
Defeat Capek.
Destroy Capek's plant monster.
Kill 500 enemies.
The Saints rule, even here.
Kill 25 enemies with the submachine gun.
Get through the medical research facility and reach Capek.
Destroy the Ultor Personnel Suppressor.
Escape from the underwater research facility with Gryphon without triggering an alarm.
Reach Gryphon without triggering an alarm.
Escape the geothermal plant in the submarine.
Kill 50 enemies with the assault rifle.
Make it into the ventilation system.
Kill 50 enemies with the shotgun.
Miss the shuttle.
Get trapped inside the commuter train.
Well, at least he got out of that cell.
Survive manning the turret in the guard training room.
Kill 50 enemies with the 12mm pistol.
Hear Eos's first message.
Visit the ol' fishin' hole and put a bullet in a fish.
Complete all elements of the training session.
Unlock all other trophies.
Complete the campaign on Medium.
Complete the campaign on Hard.
Complete the campaign on Impossible.
Kill 25 enemies with a remote charge.
Kill 25 enemies with the control baton.
Kill 50 enemies with the rocket launcher.
Kill 50 enemies with the flamethrower.
Use 5 riot shields until they break.
Clear the game without killing a noncombatant.
Kill 25 enemies with grenades.
Kill 50 enemies with turrets.