Here is the full list of all 21 Before the Echo achievements. It takes around 10-12 hours to unlock all of the achievements on Windows.
Discover the name of she who controls fate.
See the hidden ending.
Learn all spells.
Queue up five spells in a row.
Synthesize Iridium.
Synthesize every recipe in the game.
Beat the game on any difficulty.
Obtain every droppable item in the game at least once.
Defeat an enemy on the seventh floor using only Arclight.
Defeat an enemy within eleven seconds.
Get her back.
Defeat an enemy using only poison spells.
Recover over 150 mana in a single battle, and win.
Trigger Boost a Trigger Boost.
While learning a spell, achieve 100% accuracy for the entire song.
Defeat an enemy with less than one second remaining on the clock.
Successfully complete a synthesis at 25% odds of success or lower.
Obtain all three droppable items from any single enemy.
Complete a battle without failing a spell.
Defeat the Holiday Whompa.
Successfully defeat your first enemy.