Escape from New York/WMG

The Duke is Cyrus.
Escape From New York is an alternate reality if he had never been assassinated, and his plan to unite the gangs of New York had succeeded.

The Duke is Masai, Cyrus' second-in-command.
Escape From New York is what happens after Masai takes over the Gramercy Riffs and fulfills Cyrus' dream of uniting all the gangs in the city.

The remake will have Snake as a woman, played by Michelle Rodriguez
Okay, this is more wishful thinking, but anyone who's seen Machete knows what I'm talking about.
 * Funnily enough, the main character in Doomsday was imagined as Snake as a woman.

Snake Plissken is Ajax from The Warriors
After he was arrested, they gave him a choice: the army, or jail. He chose the army, participated in Special Ops, flew the gulffire over Leningrad, ended up becoming a criminal again...you get the idea.
 * It's somehow doubtful that someone with a criminal record could become an officer, as Snake did.

Snake Plissken is Swan from The Warriors
He and Mercy leave New York, but eventually part ways. As above, he joins the army and the rest is history.

Escape From New York is set in the Fallout universe
Snake's oversized watch is an early Pipboy prototype.