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