Here is the full list of all 24 The Light Brigade achievements.
Reload 100 times. (accumulated)
Spend 1,000 gold at a store.
Defeat the first boss.
Defeat the second boss.
Rescue an ally Light Brigade soldier out on a run.
Land 250 gunshots. (accumulated)
Cock an ally Light Brigade soldier's rifle.
Travel 1,000 meters. (accumulated)
Try to fire your weapon without first reloading it.
After death, find your ghost and pray to it.
Die and be revived for the first time.
Pray to the Mother.
Finish your first run, start to finish.
Land 250 headshots. (accumulated)
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.
Use the wishing well.
Use an enemy's dropped weapon to kill another enemy.
Kill an enemy sniper from far away.
Kill an enemy bomber using a grenade.
Kill an enemy priest using magic.
Defeat the Father.
Have a hypnotized enemy kill another enemy.