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