Here is the full list of all 25 Numgeon achievements.
Destroy 100K Numbers
Die 100 times
Use Start-Up machine 100x
Destroy 50K Numbers
Use Shrine 100 times
Use Bonfire 100x
Complete 100 Missions
Destroy 10K Numbers
Unlock all Color Palettes
Drink 100 Potions
Make 1000 Combos
Visit the shop 100x
Open 100 Treasure Chests
Eat 100 Apples or Breads
Finish the game with Assassin
Destroy 5000 Numbers
Finish the game on Expert difficulty
Finish the game with Sorcerer
Destroy 500 Numbers
Destroy 1000 Numbers
Use Magic 100x
Save the Dragon
Finish the game with Knight
Slay the Princess
Destroy Your First Number