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