Batman: Return to Arkham - Arkham Asylum

This achievement is story-related and cannot be missed.

Again very early in the stroy you will come to a cut-scene in which the Joker introduces his henchman to you. This fight serves as a quasi tutorial to the evading system of the game by tapping to jump over an enemy.

The fight itself is pretty simple. You can just use the evading strategy, followed by a 3-punch combo, followed by tapping again.
Or you can use your batarang to blind him. He will then charge for you. Evade that charge and again punch him until he gets his consciousness back.

If you need more help refer to the video below:
(Video credits: DrCJLong)

Hope this helps you guys!
Any improvements? Please let me know in the comments below!

Unmissable story achievement. Can be done on any difficulty. You don't need to land a blow on him, just dodge his attacks by keeping your distance and rolling (double-tap A with controller). He dies after less than three minutes.

If you're having trouble, a well-aimed batarang can stun him.