Boston Public Market open Wednesday to Sunday, 8 am to 8 pm, serving lunch, too!

[merrily]

2. There is an outdoor farmers' market at City Hall. However, the one at Haymarket proper, while great,

is surplus stuff, not always the "cream of the crop," so to speak. However, it's fine, if you use the stuff relatively quickly. Though the vendors sometime include less than desirable pieces of fruit and veg in the bag with the good stuff, the prices are still good, even after you discard the undesirable bits. I love buying things there that are relatively pricey in supermarkets, like fresh figs.