Here is the full list of all 24 The Light Brigade achievements.
Finish your first run, start to finish.
Land 250 headshots. (accumulated)
Defeat the Father.
Cock an ally Light Brigade soldier's rifle.
Hold onto 1,000 coins at once during a run.
Use the wishing well.
Kill an enemy sniper from far away.
Spend 1,000 gold at a store.
Defeat the second boss.
Defeat the first boss.
Rescue an ally Light Brigade soldier out on a run.
Reload 100 times. (accumulated)
Land 250 gunshots. (accumulated)
Travel 1,000 meters. (accumulated)
Try to fire your weapon without first reloading it.
Use an enemy's dropped weapon to kill another enemy.
After death, find your ghost and pray to it.
Pray to the Mother.
Die and be revived for the first time.
Never miss a shot during a fully completed run.
Every single shot during a fully completed run is a headshot.
Kill an enemy bomber using a grenade.
Kill an enemy priest using magic.
Have a hypnotized enemy kill another enemy.