I recently dug up a film compilation I put together a couple of years ago and posted it on youtube after a quick polish (I was on dialup back then, hence the delay in uploading;). It may be useful in introducing players to SR or at least setting some mood with it's Bladerunner inspiration.
NB: The HD version link should hopefully be a higher resolution.

The Sprawl
The Sprawl HD

To make this thread a bit more useful perhaps anyone with media or links could post them here. A search at youtube showed a couple of SR art montages set to music amongst the FPS footage and somewhere I recall seeing a FASA introductory film but there must be more!

Saw a clip or two from Minority Report. Was there some from Fifth Element? Is that what it was? I recognized the flying cars and the music.

Looks like a video mashup of the "What movies remind you of Shadowrun" threads. I saw cuts from: Babylon AD (future NY and orbital shot), I-Robot (the shiny future Chicago stuff), Minority Report (pod tracks), Blade Runner (anything dark with rain and smog), and Black Rain (modern Tokyo).

I couldn't place 1:38. That isn't Alderaan from Episode 3 is it?

Narcosys, a 2000 "cyberpunk" direct to video movie. It was really bad but it got the look right. Anyone remember Nemesis and Nemesis 2? And here's a nice little mashup of the cyberpunk hits of the 90s.

There's no Fifth Element and the scene at 1.38 is from Serenity. You named the rest IIRC.

I'll have to chase up Narcosys since it looks like an Oz production.
I made a preview for Nemesis as a bit of a lark since when we saw it again it looked pretty rough considering we remembered it being good when we saw it in the halcyon days of SR1 & 2. My theory being that a good preview/trailer plus changing the aspect ratio to 16:9 are all that seperates Nemesis from being a blockbuster ;)

Edit: I was going to comment on the music as Draco mentioned. I used Vangelis since Bladerunner is the Source man! The GitS bit was thrown in because I didn't know what else to use (and was too lazy). I notice most cyberpunk material on youtube etc. seems to use techno or occassionally hip hop.

Weird, I don't think I've seen those other movies, yet I felt like I knew what I was watching.