Here is the full list of all 30 Zoeti achievements.
Defeat the Jealous Apostle alone.
Survive the battle with the Snow Hornet.
Defeat Jumper.
Defeat the Frozen Spiritbun alone in story scene 2.
Defeat the Extinction Fiend alone in Story Mode.
Defeat the Bloodmist Phantom alone in Story Mode.
Defeat Baron Rotin in Story Mode.
Defeat all hidden bosses during a single Adventure Mode game.
Play 40 or more cards in a single turn.
Level up Valetina to Lv. 10.
Level up Alves to Lv. 10.
Level up Nicora to Lv. 10.
Clear story scene 1.
Clear story scene 2.
Clear story scene 3.
Clear story scene 3 with Valetina.
Clear story scene 3 with Alves.
Clear story scene 3 with Nicora.
Defeat the Clawed Spider Queen in story scene 1.
Defeat the Crystallized Slime in story scene 1.
Defeat the Mossy Statue in story scene 1.
Defeat the Fiendish Centipede in story scene 1.
Defeat the Fiendish Butcher in story scene 1.
Defeat the Withered Mushie Fiend in story scene 1.
Defeat the Frozen Phantomflower in story scene 2.
Defeat the Elder Brother and Younger Brother in story scene 2.
Defeat the Clawed Spider Queen Fiend in story scene 2.
Defeat the Fiendish Ogre in story scene 2.
Defeat the Stoneback Fiend in story scene 2.
Defeat the Shadowcrystal Beast in Story Mode.