The Catalan Modernist architect Antoni Gaudi proposed a castle-like structure of conical towers rising some 1,100 feet into the sky for New York back in the very early 20th C.

Curbed writes:

It was envisioned as a downtown playhouse for the wealthy and elite, with lavishly appointed guest rooms, six floors of restaurants, a large theater and lecture hall, multiple galleries, and a 390-foot-tall exhibition space. A star-shaped sphere would top the tower, giving 30 people at a time unobstructed views of the city. Had it been built, it would have been the tallest building in the country.