Here is the full list of all 38 Demon's Souls (EU) trophies - there are 27 bronze, 5 silver, 5 gold and 1 platinum.
Slayer of Demon “False King”
Obtained Best Weapon by Hardstone
Conqueror of Old King Doran
Slayer of Demon “Blue Flying Dragon”
Slayer of Demon “Maiden Astraea”
Slayer of Demon “Dirty Colossus”
Slayer of Demon “Old Monk”
Slayer of Demon “Maneater”
Slayer of Demon “Penetrator”
Slayer of Demon “Dragon God”
Slayer of Demon “Flamelurker”
Slayer of Demon “Storm King”
Slayer of Demon “Old Hero”
Obtained Best Weapon by Sharpstone
Slayer of Demon “Leechmonger”
Slayer of Demon “Adjudicator”
Slayer of Demon “Fool's Idol”
Slayer of Demon “Tower Knight”
Slayer of Demon “Armor Spider”
Slayer of Demon “Phalanx”
All Trophies Obtained
Old One Put to Sleep & World United
All Spells Learned
All Miracles Learned
All Rings Obtained
All Unique Weapons Obtained
Obtained Best Weapon by Clearstone
Obtained Best Weapon by Greystone
Obtained Best Weapon by Bladestone
Obtained Best Bow by Spiderstone
Obtained Best Weapon by Mercurystone
Obtained Best Weapon by Dragonstone
Obtained Best Weapon by Suckerstone
Obtained Best Weapon by Marrowstone
Obtained Best Weapon by Moonlightstone
Obtained Best Weapon by Darkmoonstone
Obtained Best Weapon by Faintstone
Obtained Best Weapon by Cloudstone