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