For one-stop shopping for food, tableware, kitchenware, and lunch, I highly recommend Ginza Akomeya. The restaurant offers a colorful lunch rich with small dishes. While not vegetarian, it is vegetable-friendly and nourishing.
The retail part of the store is curated offering great products for the pantry. Essentials like mirin, sesame oil, and soy sauce as well as fun condiments like yuzu kosho or ponzu. The tableware and kitchenware selection is also lovely. Pick up a donabe (earthenware pot) for cooking rice on the stovetop.
There is a kome (rice) counter where you can have your rice freshly polished. The selection is impressive, bringing in varietals from all over Japan. Some of our favorites are sold here like Hokkaido Yumepirika, Yamagata Tsuyahime, Toyama Milky Queen and Niigata Uonuma Koshihikari.
Lunch is very popular, so come early or late. The rice is cooked in a donabe. Dinner is also a big affair, and there is a nice selection of saké. In the afternoon the shop offers traditional Japanese sweets. The menu with photos is here:
Chuo-ku, Ginza 2-2-6 中央区銀座2-2-6