Da Noi is a little Italian restaurant situated in a basement at the Hiroo end of Nishi Azabu. We turned up at 2pm on a Sunday, technically after the last order was to be taken but they were still happy to seat us - a rarity in Tokyo. Anyway, for 1,600 yen you can have a lunch set which includes an antipasto and a pasta, but no drink. They also have larger sets if you are up for it. I ordered a prosciutto and vegetable antipasto and a homemade tagliatelle with ragout. Both dishes were very tasty, but the plate of tagliatelle was tiny. In the end it didn't matter because the waitress had brought out so much lovely hot bread - a roll, a piece of baguette and finally a very nice focaccia. The bread was served with a dish of light olive oil that the waitress kept filled. In fact the service was extremely attentive, pleasant and thoughful.
They also have a branch at Tokyo Midtown on the plaza opposite Starbucks. I go there often for a good, honest lunch set although be prepared for the indignity of being asked to pay in advance if you sit outside...