I found a problem (happens in both versions):
<img src="http://i25.tinypic.com/6ocrc0.png">
Run to the end of the platform, off the edge, then quickly turn around. You will land "inside" the platform.
Anyway, the second version you posted does seem to run smoother, but it also seems less forgiving at the edges of platforms when jumping. There's a little ambiguity issue when jumping off the platform, and I often end up jumping too late, whereas I don't have that problem in the first version you posted. I don't know if that's what you call "pixel perfect" or what, but I call it this (interesting read, you should check it out).
Awesome job so far, though .
[quote:1riojqpk]Also whats this custom movement behavior? I haven't found any real description of it on the site
David has a few examples in Uploads (1, 2, 3). Basically it's a generic "move in any direction" behavior with tons of options. And yes, apparently it can do pixel-perfect stuff.