I read Neuromancer in high school and loved it. The prose wasn't great, but I was sucked in by the style. Then I read every cyberpunk book that I could get my hands on followed by every real-world hacker-ish book (Cuckoo's Egg, The Hacker Crackdown).
Some of my favorites include :
Snowcrash by Neal Stephenson - I like his envisioning of the Network better and the concept of neurolinguistic hacking is pretty nifty.
Shockwave Rider by John Brunner - predates most cyberpunk in many ways. Very cool concepts. Definitely worth the read.
The Long Run by Daniel Keys Moran - the first in a series that will probably never be finished because the author keeps getting dumped by publishers (Oreilly should pick him up). These books are amazing (though the Dancer book left a little to be desired). Throw time-travel and alternate realities with cloned mutants into the mix of cyberpunk and you get some fun stuff. This is the second, I think, in the series... after Emerald Eyes. I read it first and then backtracked... everyone that I have given it too, agreed that this was the order in which to read it (Emerald Eyes is then sort of a flashback). Very good stuff.