I suggested both the Italian Job and the Heist. As you have pointed out, they are modern-day movies, so they have NOTHING to do with the SR background world. What I was refering to that they illustrate HOW to conduct a shadowrun. The planning and organization involved in a run is very well represented in both movies.
Now, as to the setting, well there is always Bladerunner. It's gritty, and a good sensory impression of an SR setting, but not much else. Johnny Mnemonic is the one with Keanue Reeves, and may be a pretty fair approximation of SR, but I have to say that I HATE that guy, and the movie just got really stupid at the end. It is good for setting, however, so I have to agree with you and put it on the list.
Other than those, I'm not really sure. I have seen one recently that was shockingly similar to some of our SR games, but for some reason I can't bring it to mind at the moment. Kind of the mental equivalent of being on the tip of my tongue.
Gabriel