Here is the full list of all 41 Bound By Flame achievements.
Complete Bound by Flame in the Captain difficulty mode
Seduce Edwen
Complete Bound by Flame in the Hawk difficulty mode
Complete Bound by Flame in the Buffalo difficulty mode
Seduce Randval
Seduce Rhelmar
Use the energy of the Worldheart to annihilate the Ice lords and save Vertiel
Preserve your humanity
Accomplish all of Rhelmar's personal quests
Seduce Sybil
Set your enemies aflame 50 times
Unlock all the Pyromancer specialization skills and their upgrades
Accomplish all of Randval's personal quests
Accomplish all of Sybil's personal quests
Unlock all of the skills of a Ranger and their upgrades
Poison your enemies 50 times
Make 100 objects (potions, booby-traps and munitions)
Set 20 traps and have them sprung
Kill 50 enemies with daggers
Unlock all the the Warrior skills and their upgrades
Kill 50 enemies with a warhammer
Kill 50 enemies with an axe
Become the most powerful being on Vertiel
Purify Vertiel by bathing it in flame
Vanquish Lord Blackfrost
Accomplish your transformation by following the demon's way
Accomplish all of Edwen's personal quests
Fire 50 crossbow bolts
Recycle 30 objects
Vanquish a Concubine
Accomplish 20 side quests
Search 50 fallen enemies
Vanquish 150 enemies
Make 5 improvements to your weapons and armour
Vanquish a Deadwalker General.
Loot 20 chests
Vanquish 75 enemies
Kill 50 enemies with a sword
Vanquish a Juggernaut
Vanquish 25 enemies
Upgrade a skill