While four honorable mentions in the eVolo 2018 Skyscraper Competition are focused on Manhattan, only one comes close to approaching a traditional skyscraper. The others, like the first place winner in 2016 that proposed a horizontal skyscraper around Central Park, take a more liberal approach to designing "skyscrapers."

Additive Effect: 3D-printed Skyscrapers:

These skyscrapers littering Manhattan would be built by everybody's favorite 21st-century technology: 3D printing. At such a scale, the towers would take time to "print," so they take on a striated appearance. Yet instead of housing apartments or offices, the skyscrapers would serve as factories for creating cartridges for 3D printing from waste, part of which would be used for the factories' skins. In other words, the towers express what they do ? and apparently illustrate a future where just about everything is printed and therefore requires such factories.
Manhattan Ridge: Affordable Housing for Commuters:

Affordable housing is one of those big issues that hasn't found an architectural solution (if one exists). But that doesn't stop people from trying. Asserting that "People who work in Manhattan deserve a home in Manhattan," the designers propose linear buildings propped on giant columns that form "ridges" along the island's north-south avenues (Fifth Avenue is illustrated). Considerations of access and egress and other practicalities aren't even worth addressing in suc...