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