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