Have you considered Cyberpunk 2020? It doesn't have the supernatural elements of Shadowrun, so it's Cyberpunk all around. The four rules of Cyberpunk 2020:
- Style over Substance. It doesn't matter what you do, as long as you look cool doing it.
- Attitude is Everything. The weak perish, the tough florish. You're a cyberpunk, act like one!
- Always take it to the Edge. Go to where you can operate as a cyberpunk and operate there. And if you're good, you might make yourself a few Eurobucks.
- Break the Rules. As a cyberpunk you won't be a law-abiding citizen, so do away with your boyscout attitude before someone tramples over you.
It really evokes the Cyberpunk feeling, though if you look closer you can see it's hilariously dated. Mobile flip phones are akin to black magic, and if you want to use the Net while on the street you gotta find a terminal and pay like a buck per 10 minutes or so. There's megacorps, corporate espionage, proxy wars, people living in filthy luxury and people living in just filth, white collar slaves not wanting to risk their underpaying jobs, biker gangs, cybernetic limbs, you're lucky if the food you're eating still resembles food and not kibble and so on. It really feels like an 80's dystopia and I love it.
The core book is a good start, but if you want some real fun you gotta find the Chromebooks, a series of 4 books with tons of extra weapons, cybernetics, items, vehicles and what have you.
But stay away from the Netrunners. If you got a Netrunner in your party prepare to have the game just grind to a halt once a person starts Netrunning. This is an unfortunate downside, but that's how it is.