Here is the full list of all 24 The Light Brigade achievements.
Kill an enemy bomber using a grenade.
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.
Cock an ally Light Brigade soldier's rifle.
Defeat the second boss.
Reload 100 times. (accumulated)
Defeat the first boss.
Rescue an ally Light Brigade soldier out on a run.
Land 250 gunshots. (accumulated)
Travel 1,000 meters. (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.
Finish your first run, start to finish.
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.
Spend 1,000 gold at a store.
Defeat the Father.
Have a hypnotized enemy kill another enemy.