As a dutchman visiting New York City a couple years back, naturally I rented a bike. A couple of random observations: - NYC in theory is ideal for traversing by bicycle. Congested yet flat, much like (old) Amsterdam - It's not so much the lack of bike lanes in the city, it's more the ignorance of drivers that poses a threat. I can't tell you how many times I was cut off, simply because the driver didn't see me or did…
Likewise, many city cyclists still practice the lawless messenger/madman style that was necessary to survive in a city with no bike lanes and no traffic law enforcement, and others revert back to it after being cut off by turning cars and riding past 10 blocks of a bike lane being blocked by cabs and cops and ...
We're making steady progress in NYC, but we're not there yet. It seems like we're making a dent, with some actual enforcement of speed laws taking place, and widespread media concern about dangerous driving and people being killed in crashes. CitiBike bikeshare is a normal part of the city transit system, and now has competent management that are fixing its software and investing in its expansion.
As you note, there's a gap in the East Side bike path due to the UN Headquarters. It's being filled, but since the UN Headquarters is sovereign territory, it's a very complex process.