Bloodnet, by MicroProse is a quite nice CyberPunk game (although I'd say it's more Cyber-Goth, but that's just my own, very personal opinion...)
Fallout 1&2 are recommendable, eventough (as stated) NOT CyberPunk, yet post-apocalyptic... And they do ROCK!
Note:
For those wondering what CyberPunk is, there is a faq (Frequently Asked Questions) on the net, at this adress:
http://www.faqs.org/faqs/cyberpunk-faq/
And if you are really interested, I sincerely recommend reading William Gibson, starting with Neuromancer, working through the trilogy consisting of; Mona Lisa Overdrive and finally Count Zero. (These are merely a few of the books he has written, but are a good start to get into the CyberPunk community, since he started it.)