These foods are the primary sources of the vitamins, minerals and nutrition types which gluten intolerant people tend to lack. Namely: carbohydrates, iron, folic acid, vitamin B12, calcium, vitamin D, and vitamin K. These foods are all gluten free. They are prioritized first for their significance in planning a gluten free diet (foods that will help the most), and second by the general likelihood of my obtaining/eating them. The exception to this is that eggs, dairy and soy are often problematic foods when you accidentally ingest gluten, and should be avoided in these cases (they otherwise present no problems if you successfully remove gluten from your diet).
Items are listed by main headings (vegetables, fish, meat, etc.); foods listed after the colons are foods that fall in this category and are especially helpful. These foods have also been prioritized based on how helpful they are (and/or my likelihood to have them). In the case of fish, salmon and tuna are high in Omega-3, which is good for the brain. I've prioritized them this way because gluten intolerance can sometimes wreak havoc on the brain, namely after prolonged exposure to gluten -- such as by not being aware of your gluten intolerance, or that there was gluten in your food.
There are other stipulations on some of these things, such as how meats are often filled with wheat germ to make them weigh more so they can be sold for more; also, conveyor belts are often powdered with wheat flour to keep meats from sticking to each other. Rice is fine on its own, but check to see if your rice has an ingredients list; many common rices are seasoned and often have gluten added. Always be careful and try to be sure you are buying gluten free meats, rices, and other products that shouldn't normally contain gluten.
Leaf Vegetables: spinach, turnip greens, beans and peas (especially: chickpeas, black-eyed pea)
Fish: salmon, tuna, eel, mackerel
Meat: shellfish, liver
dairy (parmesan cheese, ricotta cheese) caution
fish liver oil
Disclaimer: I am not a professional nutritionist. This information has been compiled from personal research and experience. Be sure and mind your own conditions and see a nutritionist if possible.