I'm a big fan of Gibson's Sprawl trilogy, particularly Neuromancer, and also the Sprawl set short stories in the Burning Chrome anthology (Jonny Mnemonic is a blistering short story which makes the fact it was turned into a turgid and dull film all the more depressing).
If you want to try some really early cyberpunk, from before the word was coined for the genre, then I'd suggest 'The Shockwave Rider' by John Brunner, which is possibly the very first cyberpunk novel. Like any near future novel involving technology, certain parts haven't aged well - for example computer hacking by phone is certainly possible now, but not in the way Brunner envisaged it, and he foresaw neither the proliferation nor minaturization of computers that we now have - but it introduced ideas that were genuinely radical in 1975, like the self replicating "worm" computer program.
Also sci-fi, but not at all cyberpunk, I'd suggest Excession by Ian M. Banks, which is one of several novels set in a society that is spread among the stars, which features (amongst other things) benign sentient AIs. It's space opera, in a utopian society so very different from the cyberpunk dystopian view.
