This photo was taken at 12mm on a Micro Four Thirds camera (which is equivalent to 25mm on a full-frame camera; see my blog post about the correct Micro Four Thirds focal length multiplier). You need a wide angle to capture New York City, or any other city full of tall buildings or narrow streets.
The gearhead types who frequent the message boards at dpreview love telephoto lenses. I read so many posts about people going on a vacation and not being able to leave their telephoto lenses at home.
But the truth is that telephoto lenses take ugly photos. Robert Capa is famous for saying, “If your pictures aren’t good enough, you’re not close enough.” He meant that you need to get physically close using a wide-angle lens, he didn’t mean that you should get close from a distance with a telephoto zoom. Very few great photos are taken with telephoto focal lengths. If you visit a display of fine-art photography, you probably won’t see any photos with a telephoto look. Assuming you’re not a birder (which I consider to be a hobby distinct from photography) or a professional portrait photographer (I don’t dispute the value of using a short telephoto lens for a tight head and shoulders portrait), you don’t ever need more telephoto than what you get with a standard zoom lens, and I recommend avoiding any focal lengths longer than the “normal” (which is 50mm on a full-frame camera).
The camera companies won’t tell you this, because they make money selling telephoto lenses. They want you to think that to be like a “pro,” ready to take any possible picture at any time, you must buy expensive telephoto zooms. Don’t fall for the marketing.
A good take on the benefits of wide angle lenses is found in Rafi Letzter’s article at Business Insider, except that he confuses telephoto with zoom. Zoom means that a lens changes its focal length, it doesn’t say whether you are shooting at wide-angle or telephoto. You don’t need to buy prime lenses to get the wide-angle look, you just need to refrain from using the long end of a standard zoom, or you can buy a wide-angle zoom. (Although some people have the belief that zoom makes you lazy and less creative, and maybe even there’s some truth in that belief.)