Swiss chard, lettuce, mustard, cabbage, endive, arugula, spinach. In other words - think leafy.
Those are all I can think of. I have successfully grown all the above in semi-shade, but not here in Charlotte. I have grown all of the above in Boone and also in the Catawba County area. It is warmer here but I don't think that would affect things too much. The only things I have grown here on that list are swiss chard and lettuce. I would love to try spinach and some mustard greens this Fall.