Basically I've been playing through the DC story and made it to the 4th chapter so far but havent got any of the achievements for the completion of each chapter! Anyone else have the same prob?
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Not me,i got my achievement for chapter 1,3,5

Are the Ach. difficulty based?

I had that problem when I first bought it but I d/l'ed a patch recently that seemed to fix the problem. It's still super annoying though :/

I did all the updates for the game, and I still don't have Ch 1 and 5 achievements for MK side, but I got Ch 3 and completion of MK story.

Maybe the 360 version is different, but most of the trophies I'm seeing are for completing the storyline from both sides, and and a couple little ones -- like  for winning an online match. I finished the DC side of the story mode, and have unlocked around 3 trophies as a result.

I don't know.  I'd go play through the story again, but I don't want to waste time trying to unlock those achievements and I don't get them.