The Lower East Side is one of the most ethnically diverse neighborhoods in New York City. Many of the early immigrants from different parts of the world settled here. As a result, this is where you have Little Italy and Chinatown.
USS Maine Monument, Columbus Park Source: https://commons.wikimedia.org/wiki/File:USS_Maine_Mounment_%281913%29,_New_York,_NY_%28P1010836%29.jpg Author: Becksguy
As the city becomes more prosperous, these ethnic enclaves have also become gentrified. Nevertheless the ambience remains. You can still walk down streets with sign in Chinese. It is a good place to pick up a bargain, or to shop for things that you can't find elsewhere in the city.
New York City Chinatown during a celebration Source: https://commons.wikimedia.org/wiki/File:New_York_City_Chinatown_Celebration_005.jpg Author: Geoff Stearns