Successfully complete all decks when playing against the CPU on the Normal difficulty setting and using the "Official Layout" option. Goal mode will be unlocked after the Arbiter deck is completed. Six new goals under each theme deck playing against the CPU will appear. To unlock a new card in Goal mode, successfully complete the following tasks against the CPU on the Normal difficulty setting and using the "Official Layout" option:

Fire Crusader: Win without using spell cards.
Water Barrage: Win without destroying any enemy creatures.
Earth Emperor: Win without opponent controlling a single field.
Wood Swarm: Win within ten rounds.
Biolith Scourge: Win with five Biolith squares occupied.
Arbiter: Win by having five creatures of the same element on board.