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