A running list, in the order they came to mind, of favorite restaurants:
Coco Pazzo, La Esquina, Raoul's, Chin Chin, Rosa Mexicano (East Side), Orsay, E.A.T., Pastis, Balthazar, Matsuri, Ye Waverly Inn, Francisco's Centro Vasco, Indochine, El Teddy's, Cafe Cluny, Carlyle Hotel (Bemelman's Bar), P.J. Clarke's, Serafina, La Lunchonette, Cafe Boulud, Freeman's, Sant Ambroeus, Rickshaw Dumpling, Shake Shack, Blue Smoke, Bar Pitti, Kelley & Ping, Nobu and Nobu Next Door, Odeon.
[more]Kate & Andy Spade
Taxi?
Nothing cries 'tourist' more than waving one's hands vigorously and fruitlessly as off-duty and fare-carrying taxis speed by. Here's the simple rule: if the taxi's numbers on his rooftop are lit, he's free. If they aren't lit, he's not. And if they are flanked by "off duty" lights, he's not. Here's the exception: sometimes an off-duty driver can be convinced to take you to your destination: if it's on his way home. If he stops for you, inquire.
Here's another vehicular tip: those town cars honking at you as you stand on the corner are livery cabs. They are not licensed to carry passengers but have a brisk business. If you are desperate for transportation and air-conditioning, it's an option.