Here is the full list of all 11 Nano Driller achievements.
Clear the game in under 10 minutes.
Clear the game in under 7 minutes!
Clear the game in under 5 minutes!!
Clear the game in under 4 minutes! It's possible, I promise!
Clear the game without dying.
Clear the game with the Gravity ship.
Clear the game in under 7 minutes with the Gravity ship.
Open the game.
Clear the game with Chasers enabled, without dying or taking a single hit. (This excludes the intro stage.)
Clear the game with both the Gravity ship and Chasers enabled.
Clear the game without dying, with the Gravity ship and Chasers enabled - in under 6 minutes.