Batman: Return to Arkham - Arkham Asylum

You can actually get this achievement on the very first fight once Batman enters the Asylum and Joker begins his trap. You can hit the first guy three times, then hit the other two, one punch/kick to each thug. By then, you should have a five-hit combo and the achievement should unlock.

In the extra content, the first map that has infinite punctuation, is the best and easiest to do. I recommend playing the campaign until you have all the combat enhancements to get easier.

You can follow my video tutorial.

This achievement is unlocked upon completing a combo of 5 moves.

This achievement can be unlocked very easily at the beginning of the game. After watching a few cutscenes and bringing Joker through Intensive Treatment, Joker manages to escape and you are brought into a combat section. Use evade and then strike to unlock this achievement easier. You will do this if you are intending to get the other freeflow combo achievements.