This website has information about two very different types of markets:
Individual grocery stores, bakeries, meat stores, pasta shops, and other locations selling food (and some non-food items) from a particular country, region, or culture. Most of the markets are in Metropolitan Boston, but the site has some coverage in the rest of Massachusetts, plus a market or two in Rhode Island and New Hampshire.
Waban Market in Newton, which features food imported from Russia
A public market is a place, which could be indoors, under a pavilion roof, or open-air, where multiple vendors sell products ranging from food to flowers to antique furniture. Some are open daily, while others are seasonal or are open just a few days a week or a month.
Cours Saleya in Nice, France