Batman Arkham Asylum is the best comic book game ever. I'm half way through the game as of now and have no complaints. Many think the combat looked like an easy button masher but I beg to differ. You can chain attacks together after hitting a thug without missing or being hit 3 times. To keep the combat flow multiplier going look across the room and point the stick at the next guy and press "X", batman will actually go as far across the room as he has to to hit the guy without breaking the flow. If someone tries to hit you the best and easiest tactic without disrupting your multiplier is tap "A" towards a thug or just anywhere. This will not end the multiplier by doing this. The counter is "Y". A blue flash will go off when to counter, tap "Y" to counter then immediately look to next thug to continue attack chaining. If a red flashes it can only be countered by dodging with two taps of the "A". Attack the red flashing thugs by stunning them with "B", then follow with any other attack. Keep the combo chains going and enjoy this amazing game! Remember to always be aware of where the next attack is coming from. My best chain was X30 in the first challenge room.
PS the singleplayer is awesome too. The boss fights are simply stunning and the stealth fighting in this game is also excellent.