Here is the full list of all 31 Space Hulk (EU) trophies - there are 10 bronze, 15 silver, 5 gold and 1 platinum.
Mission 5 - Escape with eight or more marines.
Kill 30 Genestealers with the assault cannon.
Mission 4 - Cleanse both rooms during the same turn.
Unjam a bolter 40 times.
Have a terminator kill 3 Genestealers in melee during one turn.
Survive 15 close combat encounters.
Mission 3 - Pass the C.A.T. between at least three terminators.
Survive “Suicide Mission” without any casualties.
Customize your banner.
Having Achieved The Highest Honors in Battle.
Kill 6 Genestealers in one shot with the flamer.
Kill 20 Genestealers with the power sword.
Kill 6 Genestealers with one psychic storm.
Kill 5 Broodlords.
Kill 1000 enemies.
Kill 40 000 enemies.
Win close assault against Broodlord.
Destroy 20 doors with a Chainfist.
Complete a mission without using a single Command Point.
Kill 10 Genestealers during one turn in the “Exterminate” mission.
Mission 6 - Wake all unconscious Marines and take no casualties.
Mission 7 - The marine that picks up the artefact must be the one exiting the map with it.
Mission 8 - Calistarius must survive.
Exit the map with at least 7 marines in the "Regroup" mission, but not before all have been put into play.
Let no terminators die during "Defend" mission.
Mission 11 - Kill the broodlord.
Escape with at least two Terminators before the end of the tenth turn in "Pitfall" mission.
Get all the mission specific trophies.
Finish the “Sin of damnation” campaign on easy.
Finish the “Sin of damnation” campaign on normal.
Finish the “Sin of damnation” campaign on hard.