Here is the full list of all 25 Diablo IV achievements.
Explore all of Estuar.
Acquire 10 Caches of Chaos from the Tree of Whispers.
Get 5 PvP kills.
Upgrade your Healing Potion to max tier.
Collect 1000 Aberrant Cinder in Helltide zones.
Complete a Sacred and Ancestral Nightmare Dungeon.
Kill the most challenging Echo of Lilith.
Kill any World Boss.
Imprint 10 items at the Occultist with an Aspect from the Codex of Power.
Craft any Elixir and any Incense.
Upgrade a piece of Armor, Jewelry, and a Weapon.
Kill 50 enemies in Werebear form and 50 enemies in Werewolf form as a Druid.
Kill 50 enemies in melee range and 50 enemies out of melee range as a Rogue.
Kill 50 enemies while Berserking as a Barbarian.
Reach Level 100 with any character.
Summon 100 Skeleton Mages or Warriors as a Necromancer.
Reach Level 50 with a Hardcore character.
Reach Level 50 with any character.
Complete the campaign.
Kill 666 Bandits, Cultists, or Knights.
Kill 666 Snakes or Spiders.
Kill 666 Ghosts, Skeletons, or Zombies.
Kill 666 Drowned, Vampires, or Werewolves.
Kill 666 Demons, Fallen, or Goatmen.
Kill 100 enemies with Fire, Frost, or Lightning damage as a Sorcerer.