Here's a happy list of veggies that tolerate part shade. In my personal experience, I think lettuce, collards, kale and parsley do better in part shade once they are established (not seedlings). Nasturtiums also love part shade.

Here is a link that might be useful: Part shade vegetables

I think you can plant and grow successfully JUST ABOUT ANYTHING you want in that space, with 6 hours of sun, down in Memphis, TN. I am gardening in a situation that I get hardly 5 hours of direct sun and I grow tomatoes, potatoes, pepper, cucumbers, squash, garden bean, chard, ... all kinds of herbs.

Here are some plants that wont mind even less direct sun:

---- chards, parsley, sage, rosemary, lemon balm, any member of onion family (chives, onions, leeks, shallot,) any member of cabbage family,

But it might be a bit too late for some of them to start from seeds but you can always buy plants and plant them.

Thank you both for your responses, I appreciate it-great suggestions. Seysonn, we actually just planted a whole 8x4 bed with seeds of Swiss Chard and Kale. I know Kale especially is supposed to be a cool season plant, but we use Kale in smoothies and would be covering up up bitter tastes anyway. When you say it may be too late are you referring to the bitterness as the weather gets hot-or an issue with germination and growth? Thanks!