Do you have a copy of the Better Homes and Gardens New Complete Guide to Gardening? There's a list in that book of vegetables that can be grown in part shade with details on how many hours of sunlight they need per day, what kind of shade (bright not deep) and so on.
However, if you have no direct sunlight, I don't think there's much of anything you can grow in the way of vegetables. All on this list have to have at least 2 hours of sun a day and most at least 6 hours.
There are plenty of flowers that thrive in shade. That might be a better option.