Dark City (1998), Gattaca (1997) and Metropolis (1927) are the three cyberpunk movies that impacted me the most for sure.
Dark City was confusing and dark, but powerful and very gripping.
Gattaca was one I watched for school and was very surprised by it. It is a movie centered in the genetics discussion.
Metropolis is probably one of the first "cyberpunk" movies ever. Not the best Fritz Lang one, but a classical piece and a beautiful work.
If you are into anime, you will have your plate full with Ghost in Shell (1995), Akira (1988) and Kaiba (2008).
Great to see this post and how cyberpunk is such a gigantic topic. Got to learn a lot from you guys!