"I like the fact that New York looks a bit backwards, toward the Old World, rather than resolutely forwards"

This quote by Carter Burwell speaks to the distinct appeal of New York City. Burwell is suggesting that the city has a certain nostalgia to it, a feeling of looking back to the previous rather than always looking forward. He is likely describing the city's architecture, which is a mix of old and new, with many structures that have actually been around for centuries. He is likewise most likely referring to the city's culture, which is a mix of many different cultures from around the globe, providing it a feeling of looking back to the Old World. Burwell is recommending that this mix of old and brand-new provides New York City an unique charm that is not discovered in other cities. He is suggesting that this charm is something to be appreciated and admired.