Here is the full list of all 19 Animation Throwdown: The Quest for Cards achievements.
Research your first combo.
Choose a hero.
Complete the first Chapter.
Complete five Chapters.
Complete ten Chapters.
Complete fifteen Chapters.
Complete twenty Chapters.
Complete twenty-five Chapters.
Research 100 Combos.
Research 150 Combos.
Reach PvP Rank 5.
Reach PvP Rank 10.
Reach PvP Rank 15.
Win your first PvP match.
Join a Guild.
Create your first Fusion.
Create your first double Fusion.
Upgrade your first Card.
Upgrade a card to Level 5.