I rank Ronin high on the inspirational viewing list. Contemporary setting but absolutely hits the mentality on the head.
Blade runner, Robocop, and to a lesser extent Strange Days get it right, but lack any magical/supernatural elements.
I would pass on Judge Dredd, but the more recent Dredd was somewhat better (although very dark and violent). Dredd has a slum arcology and some nice future gang stuff that fits with the genre. Again no magic, but it does has psychic powers.
Strangely enough, the two films made directly from Bill Gibson's work, Johny Mnemonic and New Rose Hotel, were quite poor. I can personally attest to the first. The second is somewhat obscure and I have not seen it, but it has basically been universally panned by every source I can find on it.
Anyone contemplating watching Freejack should just hit themselves in the face with a shovel. Its the same outcome and you don't waste two hours.