As if Robert DeNiro’s Greenwich Hotel weren’t alluring enough, with its Hollywood cachet, 88 distinct rooms, and top-notch amenities, its house restaurant has the food elite singing its praises. Hometown chef Andrew Carmellini offers up ravishing rustic plates that won’t break the bank, all within the homey, ‘stay a while’ vibe created by the wood-burning stove, shelves of wine and books, and open kitchen. Start with the blue crab crostino, make your way to the lamb meatball sliders, consider a swirl of the fettucine verde, and savor each bite of the charcoal-grilled bass with scampi and zucchini. Carmellini, who trained under New York’s top toques, is joined by boundary-pushing pastry chef Karen DeMasco, a star whose dolce delights are worth a trip in themselves. Curious? Lemon tart with buttermilk gelato and limoncello granita, raspberry-pistachio cake, and DeMasco’s famous homemade biscotti misti.