Our family is vegan (we follow Dr. Esselstyn/Dr. McDougall, Dr. Barnard, etc.), so beans and rice are AT LEAST a three-times-a-week staple for us, in various forms. I keep different kinds of rice in the house ("regular" brown rice, brown jasmine rice, brown basmati, wild rice) along with stuff like quinoa, and make batches of beans 2 pounds at a time (from dry) and refrigerate/freeze in portions. I also make double batches of rice whenever I cook it, and we keep the extra in the fridge all week and slowly eat it down, with beans, veggies, etc.
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We don't do it so much for frugality purposes as we do for nutritional purposes. :)