Here is the full list of all 20 Spellweaver achievements.
Collect one copy of each Wisdom card from Valiant Dawn.
Collect one copy of each Nature card from Valiant Dawn.
Collect one copy of each Order card from Valiant Dawn.
Collect one copy of each Dominion card from Valiant Dawn.
Reach 10 Wins in a Spellweaver Trial.
Collect one copy of each Rage card from Valiant Dawn.
Collect one copy of each Corruption card from Valiant Dawn.
Unlock the Spellweaver fame title. (Reach Fame Level 35)
Complete 5 Epic quests.
Reach a rating of 1250 or more points.
Win 7 Friendly or Ranked games in a row.
Complete 5 Spellweaver Trials.
Win a game after playing at least one card from each aspect.
Win a game by depleting your opponent's deck.
Win a game at 1 life.
Win a game that lasted at least 7 turns, without receiving any damage.
Win a game by having 40 or more life.
Play 100 games.
Play 20 Ranked games.
Unlock all quest points on the World Map.