Truthfully, these combat challenges were a much more difficult mantle to undertake than I had anticipated! And admittedly, I'm not the most qualified to talk about these batman games 'round here, so I'd highly recommend the related achievements & trophies page for Asylum on the 360, some great guides on how to perform each individual level link is here:
That being said, I can offer a couple of general tips and tricks that may help, mostly obvious givens:
-You're going to want to work on your combos. Sounds obvious I know, but having combo diversity can really set you over into 3 star numbers. I'd recommend working on this similar achievement at the same time:
Personally, going for freeflow perfection helped me, as it took my focus into performing the proper moves at the proper times. Change of mindset!
-Don't let a bad first round worry you too much. Some of the best 3 stars I had were mostly done in the final couple of rounds (points wise).
-Don't button mash x, learn the timing. It'll help you keep a level head and achieve those tasty X2 combo punches.
-The evade button is your friend.
-you can only get the achievement with Armored Batman. Joe shmoe regular Batman and Joker won't work.
-Never doubt the range on batman's punches! He can punch one guy on the far left side and run all the way to the right side without breaking a sweat!
-and last but certainly not least, BE FULLY UPGRADED
! Very obvious, but very important for sure!!
Hope this all helps anyone in need!