If you are lucky enough to live near a farm, there are sometimes options to become shareholders in that farm. Some places will offer to give you the pick of the litter with their crops and provide bags of fresh fruit and vegetables every week or two for a simple investment in the farm. That can save a lot of money in buying fresh organic produce and provide you a great variety of foods you may never have even tried before.
Another thing you can do is learn what foods are in season and buy them in bulk when the opportunity presents itself. A lot of foods can be frozen or canned and stored for later use. There are a lot of ways you can save money by learning the different tricks to preparing foods for future use. For example, you could dehydrate vegetables and set them aside in airtight containers in a cool, dark space so you can have access to them later on.