The 'Batman attack' is when you get surrounded and overpowered by a group of enemies as Bud, and see a
prompt above your character.
If you tap the button quickly enough, you will throw all the enemies off of you. I think the achievement description is off. It seems you just need to do this a total of 3 times, not necessarily in a row. I did this twice during the first stage and the third time was like two hours of gameplay later. It unlocked immediately after my third one.