In any case, it's a bit of a challenge creating a Cyberpunk setting without the anachronisms but that still remains interesting. So let's look at a few general approaches towards tackling this:
Patch-Punk!So the most obvious solution is to just patch-up the most anachronistic stuff. Modern cellphones/computers/internet exist, but the world is still ruled by the Zaibatsus, and humanity still finds themselves increasingly objectified by the technology that becomes an essential part of their lives/bodies. Classic cyberpunk with a few minor tweaks.
Viracades project, a relatively new CP2020 blog, is building-up some really great material informed by the latest and greatest in Post-Cyberpunk Literature. He's got a society where 3D Printing has reached maturity and robotic drones are ubiquitous. He's got a Music Dealer trying to evade the DRM police. I really like his updated vision of the Cyberpunk setting and I'm sure there's a lot more good stuff to come...
Mytho-Punk!This one's inspired by Gardner Dozois' short story "Recidivist". Wintermute succeeded in it's mission to merge with Neuromancer and the AI's have ascended to godlike status. They're like the pantheon of Greek myth: decadent, perverse, omnipotent, and thoroughly superior. Humanity is completely at the mercy of their whims and, in fact, it seems like the only reason we still exist is that we amuse them.
Here, the world is post-apocalyptic, the technology from the AIs is inscrutable in it's working, in fact it might as well be Magic. Ultimately, this setting feels more like a Fantasy set in the Post-Apocalypse than a Scifi game.
I imagine an alternate, subtler vision of the Recidivist Universe, where the AI's are more like Lovecraftian Old Ones. They're largely indifferent to Humanity(so not post-apocalypse), but vaguely malevolent. There are cults that worship them whose rituals risk the entire world as we know it. There are places where their influence is felt, where a sort of gateway forms between our Dimension and others the AI's find more interesting. Basically Cyberpunk but with a pall of Lovecraftian Horror spread wide over the Sprawl of Corporations and Runners and Hackers and bizarre Techno-Punks.