Here is the full list of all 46 Diablo III trophies - there are 37 bronze, 5 silver, 3 gold and 1 platinum.
Reach level 30 in Hardcore mode.
Buy each type of item from merchants.
Complete all the main character, follower, and artisan conversation challenges.
Complete all the Diablo triumph challenges.
Kill Diablo in Inferno mode.
Kill Azmodan in Inferno mode.
Equip all Inventory slots with items that have a minimum required level of 60 or higher.
Kill Belial in Inferno mode.
Complete all the Belial triumph challenges.
Kill Maghda in Inferno mode.
Kill 100 Treasure Goblins.
Complete all the Butcher triumph challenges.
Kill the Butcher in Inferno mode.
Raise the Jeweler to level 10.
Kill the Skeleton King in Inferno mode.
Raise the Blacksmith to level 10.
Kill Diablo in Hell mode.
Complete all the Azmodan triumph challenges.
Reach level 60.
Buy all stash upgrades.
Pick up 500,000 gold.
Kill Diablo in Nightmare mode.
Kill 500 elite (champion, rare, or unique) enemies.
Equip all Inventory slots with items that have a minimum required level of 25 or higher.
Complete all quests in Act IV.
Kill Diablo in Normal mode.
Complete all quests in Act III.
Kill Azmodan in Normal mode.
Reach level 30.
Complete all quests in Act II.
Kill Belial in Normal mode.
Combine gems.
Use a merchant to repair an item.
Kill Maghda in Normal mode.
Fully equip one of your followers.
Craft 5 items.
Recruit the Templar, Scoundrel, and Enchantress.
Complete all quests in Act I.
Kill the Butcher in Normal mode.
Kill one of the unique enemies listed in the Never Seen That Before Challenge.
Reach level 10.
Equip a rare (yellow) item.
Kill the Skeleton King in Normal mode.
Equip a legendary (orange) item.
Collected all other Diablo III Trophies.
Pick up 5,000,000 gold.