Foods-Anticancer Foods with anticancer activity. J.C. Oakland, CA asparagus barley basil berries broccoli Brussels sprouts cabbage cantaloupe carrot cauliflower celery chili pepper chives citrus fruits cucumber daikon eggplant fennel fenugreek flaxseed garlic ginger lentils licorice melons mints miso mushrooms enoki shiitake maitake mustard greens oats olive oil onions oregano papaya parsley parsnips peppers potatoes rice, brown rosemary rutabagas sage seafood soybeans tarragon tea, black tea, green thyme tomatoes turmeric turnips whole wheat winter squash