Here is the full list of all 8 Drill Arena achievements.
Survive whole match without losing all health
Win one match in multiplayer mode
Don't use bonuses the whole match
Win one match in singleplayer mode
Destroy 3 opponents in one use of hyper mode bonus
Destroy every type of robots in one match
Win 10 times in any mode
At the end of the match there was not a single block left on the field