Batman: Return to Arkham - Arkham Asylum

This is only a solution/exploit for both Rumble in the Jungle levels

Finish off everyone else in the room and leave one Titan alive.
If you knock a titan henchman down into a finishing pose, which is when he is hunched over with stars around his head and his health bar empty.
Run towards him with holding for a few steps and then press to do a flying kick and this will give you 20 points without finishing him. Then after kicking him throw a Batarang with for an additional 20 points after every kick.
repeat until you hit:
Rumble in the Jungle: 30,000 points
Rumble in the Jungle (Extreme): 50,000 points

In the extreme version of the fight this exploit can be done on both round 2 & 4 i recommend 4 that way you only grind what you are missing.

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!

In the extreme levels just remember to stun the stabbys and jump the shockies. So in regards to rumble in the jungle extreme which is probably what you’re needing help with. Go for flawless round in round one, with atleast a 8x variation combo, this should put you around 10-12k. Round 3 just do the best you can to keep the streak alive and focus on the inmates going for throwables/guns. You don’t need flawless just the highest combo you can get. Rounds 2/4 with the titans are pretty much copy and paste. Immediately when the round starts throw your batarang to disorient the charging titan. When he hits the wall attack him and counter the inmates. The key is to hop on the titans back with a multiplier and do as much damage as you can while riding the Titian. Each hit give 25 points multiplied by your combo. Rinse and repeat until the Titan is exhausted and finish off the inmates. It took me 2 days to get the 50k mark and I finished with 54k it went a lot more smoothly when I noticed the points gained from the rodeo attack. Also if your attacking the Titan that’s not dazed remember that every 2 hits you need to jump over to avoid his attack and keep the streak.