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