And last night I finished Mona Lisa Overdrive (by William Gibson). It's not as good as the first two of the series, but it's still a great story, and answers some of the questions left by the other two books. I think of the three, Count Zero is my favorite. Strangely, every single review of the series that I've seen says Count Zero doesn't measure up to the others, and that Mona Lisa Overdrive is the best, so I suppose it's all about preference and which characters you most relate to.
Now I'm reading Master and Man, by Tolstoy.
If you haven't read it yet, I'd recommend Burning Chrome along with Neuromancer, Count Zero and Mona Lisa Overdrive. A few of the stories in it are set in the same world, and at the very least both Johnny Mnemonic and Burning Chrome are worth reading.