Here is the full list of all 10 Digital Dungeon achievements.
Finish the Game
Store 1000 units of Pure Energy
Fully upgrade your weapon
Destroy 2 enemies simultaneously
Destroy 200 enemies in total
Be chased by 5 or more enemies simultaneously
Destroy 5 enemies for less than 20 sec.
Power up 50 times
Finish all levels not receiving any damage
Finish all levels without improving a weapon