Here we have a recreation of the Nike Better World page:
http://ianlunn.co.uk/demos/recreate-nikebetterworld-parallax/
On Firefox it looks really nice, because Firefox has smooth(ish) scrolling.
On all of the other browsers I've tried (Safari, Opera, IE, Chrome) it looks much less nice because all of those browsers scroll half a screen at a time. Sometimes it's hard to tell that the parallax is actually an intentional effect on those browsers.
Here we have a wordpress theme:
http://themespectrum.com/parallax-demo/
It looks great on all browsers because (apparently) the designers have somehow changed the scroll wheel behavior and the page moves slowly enough that the parallax is animated instead of chunky.
How did they do this?
More broadly, should this be done? I don't like the idea of overriding such a fundamental aspect of the user's experience, but I also don't like how parallax looks on virtually any browser that isn't Firefox.