Hey guys, another hopeless fan of Arkham Asylum who is tearing out his own hair here.
I was wondering if anyone could give me any tips on how to get this specific trophy/achievement I've been having trouble with?
 
Freeflow Perfection
Perform a perfect combo including all of Batman’s combat moves (any play mode)
 
I could swear I've used every possible maneuver during several combo chains now but I can't seem to get the trophy.
Does anyone have any idea what I could be doing wrong?
 

I had trouble with this one two. Remember Evade, Cape Stun, BATCLAW and all 3 takedowns. Throw, the B+Y one (Circle, Triangle for ps3 users) and ground takedowns. 

Wait... Batclaw or Batarang?
They can't possibly expect me to use batclaw during a fight. I know double-tapping R2 will quick-shoot it, but still. That's pretty messed up.

I think the preferred combo is starting off with the Batclaw, then punching that guy.  After that, it's kind of up to you.

" Wait... Batclaw or Batarang? They can't possibly expect me to use batclaw during a fight. I know double-tapping R2 will quick-shoot it, but still. That's pretty messed up. "

The Batclaw and Batarang moves are the wonkiest to pull off.

For the Batarang, at least, I'd suggest until you have around four enemies left to attempt it. Be sure to tap the trigger ONLY ONCE, for throwing two sets of Batarangs will immediately stop your combo. Generally speaking, the Triple-Batarang will knock down three of the assailants, allowing you to hold the right trigger (or R2, if you're rocking the PS3) and the counter button, sending Batman into a ground takedown.  
 
The Batclaw, in my opinion, is a tad easier to pull off fluently, but the animation is longer. Enemies not caught by the Batclaw will have an ample opportunity to land a shot on you.  
 
Ultimately, it takes a lot of practice. The Freeflow system feels great when you're not getting too complicated, but throwing the Gadgets into the mix makes the rhythm a little different. Just something to get used to.