One cool sort of place they have in Italian towns are Bar Pasticcerias. A "bar" in Italy basically means a coffee joint like small Starbucks, but a Bar Pasticceria means they are serious about pastries. Besides outdoor cafes for watching the scene, I love the old, atmospheric Bar Pasticcerias where they do the usual, but also serve "light" lunches like a big tray of miscellaneous norceria with cheeses, wine, beer, and even cocktails. Some have a good selection of single malts. That's a 1 hr+ lunch, and you never want dinner. I can't remember the name of our favorite place.
You get to watch the old guys going in to pick up some dessert and having a glass of wine or some grappa while waiting. Also, elderly women with packages coming in to pick up some dessert, and having a glass of wine while waiting. Civilized. A place like that in Greenwich Village or Soho would be busy and make a lot of money.
Below a nice shop for Italian stuff. Remember that shops close during midday, then stay open until 9 or later. And restaurants don't begin serving dinner until 8.