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I'm not into making charts but you should just read the important writers.
Gibson is the obvious starting place, Neuromancer is still great and has always been the starting place for a reason. His other stuff is good too.
If you can get ahold of the anthology "Mirrorshades" that's another good starting place and can introduce you to a lot of the decent authors.
Bruce Sterling himself is another important next step.
Snow Crash by Neal Stephenson is parodying the whole thing somewhat, but is still important and pretty good. And Philip K. Dick predates the whole thing but there's a reason the shit movies based on his books and stories often look so cyberpunk.
Of course, most of the authors have moved on to other things at this point, but a few others to add after Sterling from the original movement are Pat Cadigan, Lewis Shiner, Rudy Rucker, and John Shirley.
It was much more interesting as a literary movement than any of the other areas of culture that followed after, although there were a few good movies and Shadowrun can be a fun roleplaying game.