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