I haven't completely elminated processed foods from my diet. I still use commercial soy milk (store brand--tastes identical to Silk, probably made by the same manufacturer, but $2 for the half gallon) and soy yogurt, various artificial sweeteners, 100% whole wheat flour, regular oats, and caffeine-free off-brand diet sodas, all of which are highly processed. But, the bulk of my calories are from produce and raw nuts/seeds.
Usually for breakfast I have 3-4 cups of fruit (fresh and frozen)--mixed berries, citrus and a banana or something else, with 1/2 c soy yogurt, 1 T freshly ground flax seeds, and a few hazelnuts and walnuts, and soymilk with a hot beverage.
For lunch, I make a stir fry with 1/2 t Chinese hot sauce (from the Asian store--soybean oil based with hot peppers), soy sauce, about 1 c sprouted mung beans (I sprout them myself), 1/2 sweet potato, 1/2 beet, 5-6 cups of cruciferous leaves (napa cabbage, collards, turnip greens, mustard greens, bok choi, etc.), onion, tomato, mushroom, summer squash, and whatever else I have. I top this with a few freshly shelled nuts.
Dinner is usually a salad with mixed lettuces, tomato, red bell pepper, and maybe some cooked (from frozen) vegetables.
Snacks are usually fruit and popcorn. Rarely, I will bake myself a treat or have some cooked oatmeal or cooked sprouted buckwheat.
I can't afford much in boxes, and very little in the way of "Vegan" processed foods. I go to my independed grocers in the morning, where they have special markdowns on certain types of produce and I work with whatever--taking home about 60 pounds worth, and I base my meals around that. I've cut back on grains and increased greens. The result is that my diet has far more vitamins and minerals now, for the same number of calories.