Generally, buying store brand (or generic brand) products at the supermarket will save you a lot of money. Plus, often times you can barely tell a difference between the two.
Of course, some favorite snacks and foods will be worth the extra money to buy the name brand that you love. But, at least give the generic or store brands a try, so that you can learn which ones you and your family don't mind at all. You'll be able to save 30% or more when you choose these rather than the pricier name brands.