Here is the full list of all 23 Her Name Was Fire achievements.
Complete your first run with Fire Orb
Complete your first run with Gatling Twig
Complete your first run with Thunder Blade
Complete your first Eclipse run
Complete your first Descent run
Defeat The Magician
Defeat The Devil
Defeat The Hierophant
Defeat The Sun
Defeat The Tower
Defeat Death
Buy your first Allegory card
Complete an entire run with only level 1 cards
Complete an entire run without redrawing a card
Finish a run in which you redrew every single time you leveled up
Beat the game without a single allegory card
Survive 15 Tantrums in 1 run
Unlock 6 essences
Unlock all essences
Finish a run using Thunder Blade, Berserker, and Wrath
Finish a run using Gatling Twig, Hunter, and Glass Cannon