Did you ever see the Keanu Reeves film Johnny Mnemonic? If so, you've pretty much seen a quintessential example of the genre. Cyberpunk was first popularized by the novels of William Gibson (I think Neuromancer was the first title, but he wrote several of them, including the novella Johnny Mnemonic was based on). It's pretty much exactly what you might expect in a gaming session. You've got the high glitz, high society "corporate" side of things, as they've become the defacto governments of the world at that point. As in literally many countries were bought out due to massive debt, and basically just became mega-corporations. Then you've also got the other side of things. The Newark, slums, street doctors, dingy clubs where you talk with contacts about illegal jobs, etc. I'm sure there are some other examples out there that might be more recent, or popular, but that is literally straight from the vein of the original material.
Bladerunner, but there isn't really an element of the "being the criminal" side of things. If Blade Runner was a Cyberpunk game session, you'd more likely play as the group of replicants trying to uncover details about your past, and fight your way inside the corporation to literally meet your maker....shit that actually sounds like a fun campaign now.
Ghost in the Shell is another really good adaptation of the source material. I mainly mean the original anime film, but the tv series as well.
Robocop also fits well.
I mean there are a ton of scifi films, but those are, in my opinion the ones with the closest to source themes in them. This is after doing a cursory google search for "cyberpunk films" and just scanning the top results. those stood out most as being closest to source.