A few simple tips to help anyone out.
Thanks to Pedle Zelnip for pointing out that you can do these in easy, normal, or hard and the game will still give you the counter icon.
-As a general rule, gun wielding bad guys always take priority. They will end you combo and hurt you badly, so if it means you gotta stay near the gun box so be it.
-Wait until you have beaten the game or at least gotten all upgrades and gadgets
-Get a pattern. Develop a pattern of moves to use to ensure you get that variety combat bonus (up to 5000 points I believe) For me it was hit, grapple, hit, batarang, hit, takedown, stun, hit, jump/evade, throw, and try to go on like that til the last guy where you can knock him down with a batarang and ground takedown
-Get high combos. High combos mean high multipliers, so try to get up into the twenties, thirties, and forties.
-Know you points. Know which moves are going to give you a lot of points and do them when you have a big combo multiplier. For instance a ground take down is 100 points, do that with a 30 combo meter theres 3000 points right in that one move.
-Dont get discouraged. You may need to try it 20 times to get it right, but you only need to get it right once.
Special notes
For Rumble in the jungle. You main points are gonna come from titan hits as you are riding them, so try to get them stunned and work up a high combo before you ride em. ( 25 points a hit.) Also try to stick with hitting just the small guys not another titan so you can land more hits and get more points.
For Shock and Awe. Just build up that takedown move and for varience and high points use the batarang knock down and ground take down. If you find that you just cannot do it fast enough, try just straight hit and counter and take down. You lose the varience, but if you can string a high enough combo, you should still manage.
If you can think of any tips, info, comments, or questions, comment.