Here is the full list of all 21 Mount & Blade: With Fire and Sword achievements.
Join the Crimean Khanate and eliminate all other factions.
Finish the Polish Commonwealth's main storyline quest "The Deluge"
Join the Kingdom of Sweden and eliminate all other factions.
Finish the Moscovite Tsardom's main storyline quest "The False Dmitry"
Complete the summer feast quest found in any village on the eastern side of the map.
You've made 1,000,000 thaler from using trade caravans.
You've made 100,000 thaler from using trade caravans.
As any faction; conquer the map and eliminate all other factions.
Build three upgrades in a single town/castle you control.
Keep 10 bundles of velvet in your inventory.
Earn 3,000 thaler in profit from a single caravan trade.
Build a wagon fort from the camp menu.
Successfully blow a hole in a castle/town wall before a siege.
Finish the Cossack Hetmanate's main storyline quest "The Black Mace"
Buy drinks for everyone at a bar.
Tend to your army's illnesses, five times, by resting or feeding them.
Using any firearm; kill 100 enemies.
Start any main storyline quest found in the three main factions.
Customise your mercenaries' equipment using the mercenary camp.
Kill 50 enemies with grenades.
Get in a bar fight.