East Side, West Side, all around Manhattan are destination eats. The Modernist designed Lever House makes a mecca of Midtown with a cool honeycombed space and contemporary American fare (212-888-2700, leverhouse.com). On the Upper West Side, ’Cesca (212-787-6300) debuts as a popular Italian sibling to hit eatery Ouest. And the owners of The Biltmore Room salvaged the marble and mirrors from the 1913-era Biltmore Hotel, installed them in Chelsea, and brought in a chef who cooks rave-up Asian (212-807-0111).