Here is the full list of all 10 AXYOS: Battlecards achievements.
Win 10 times in a row
Win 5 times in a row
Win for each of the factions
Sell 5 cards during the fight and win
During the battle use kraft cards 20 times
Victory without damage to your Axyos
Win in less than 15 moves
Winning without using the crafting cards
Win without using of ultimative skill
Make a move in less than 3 seconds 5 times in a row