New York is iconic to most, and is a vivid picture in the dreams of many. This is due largely to the fact that the city has served as the backdrop for so many great films, and we all fall a bit more in love with the sights and sounds of the city through the stories we see play out on the big screen.  Check out this list of movies that take you on a journey into New York, and see if your favorite film made the cut. Annie Hall – In this off-beat romance, a Neurotic New Yorker named Alvy Singer falls in love with a free spirited woman named Annie Hall. This is a quintessentially New York film directed, written and starring Woody Allen. Check out Coney Island, where Woody Allen’s character is from. Serendipity – Starring John…