Try these shade-tolerant vegetables in your garden: Salad greens. arugula, endive, lettuce, sorrel, spinach. Leafy greens. collards, kale, mustard greens, swiss chard. ... Root veggies. beets, carrots, potatoes, radishes, rutabaga, turnips. ... Brassica veggies. Broccoli and cauliflower, brussels sprouts, cabbage. ... Herbs.