Here is the full list of all 40 BitBattle achievements.
Do 3 kills
Do 10 kills
Do 20 kills
Do 40 kills
Do 3 kill
Do 10 kill
Do 20 kill
Win your first game
Win 10 times
Win 25 times
Win 50 times
Do 25 kills
Do 50 kills
Do 100 kills
Do 200 kills
Do 1 air kill
Do 10 air kills
Do 20 air kills
Do 40 air kills