try.. american land cress, cut and come again salad leaves, rocket, mint, and maybe try some climbing french beans which may scramble to a point where they get a bit more light... they mature quicker than runners so you might get a reasonable crop. leeks might do ok too
Chives and lettuce prefer cooler conditions as does spinach. I have grown potatoes in a shady spot, they wont get huge but you'll get some pretty decent spuds.