You say you stick to organic/natural. Well, it's all "natural", even GMOs, if you're eating plant and animal products directly. (Eg: stay away from additives and highly processed foods.) "Organic" is a bit tougher; you want it to mean that the plants and animals were raised without getting stuffed with chemicals and antibiotics, but there's a lot of wiggle room there because 'food' is made up of chemicals, and many foods and chemicals have some antibiotic properties.
In the end, if you're not growing the plants and breeding the animals yourself you don't really know if the "organic" label on them means what you want it to mean. And except for heirloom varieties, (and maybe even those) the plants and animals you're raising are still the product of the past 100 years of breeding, which usually focused on attributes other than making them healthy to eat.