Here is the full list of all 43 Diablo III: Reaper of Souls - there are Ultimate Evil Edition achievements worth 1,000 gamerscore.
Reach level 70 in Hardcore mode.
Complete 500 Bounties.
Kill Malthael in Hardcore mode.
Kill Diablo in Hardcore mode.
Equip all Inventory slots with Legendary items that have a minimum required level of 70 or higher.
Kill 100 Treasure Goblins.
Reach level 70 with 6 different classes.
Recruit the Templar, Scoundrel, and Enchantress.
Finish a Nephalem Rift within 15 Minutes.
Enchant all your equipment slots.
Kill 500 Monsters while in Nephalem Rifts.
Complete 5 Bounties.
Kill 500 elite (champion, rare, or unique) enemies.
Complete all quests in Act V.
Kill Malthael.
Kill Adria.
Complete all quests in Act IV.
Kill Diablo.
Complete all quests in Act III.
Kill Azmodan.
Kill the Siegebreaker Assault Beast.
Kill Ghom.
Get a destruction callout for breaking 50 objects.
Complete all quests in Act II.
Kill Belial.
Kill Zoltun Kulle.
Kill Maghda.
Complete all quests in Act I.
Kill the Butcher.
Craft 100 items.
Kill the Skeleton King.
Replace a property with Enchanting.
Kill Urzael.
Reach level 70.
Socket a gem in an item.
Craft 5 items.
Combine gems.
Raise the Mystic to level 12.
Acquire the Mystic.
Pick up 500,000 gold.
Raise the Blacksmith to level 12.
Raise the Jeweler to level 12.
Use a merchant to repair an item.