Here is the full list of all 16 Queendoom achievements.
Complete the first battle
Shoot 10 times to the bullseye on the citadel
Increase the level of an ally
Increase the level of an ally up to its maximum
Your allies have killed 100 enemies
Buy all the items on the shop at least once
Kill at least one enemy with each arrow type
Hit 10 shots of more than 200 meters with a regular arrow
Kill 5 enemies with a single arrow
Hit 20 consecutive shots on enemies
Kill 100 enemies with a headshot
Complete a battle with more than 70% accuracy
Pile up 25,000 gold or more in a battle
Destroy 10 projectiles that were targetting an ally
Defeat Banegnus
Defeat Aspito