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