Some of the healthiest cookies, according to the Food Network, are: Almond Blueberry Cookies. Soft Maple Cookies. White Bean Chocolate Chip Cookies. Chewy Sugar Cookies. Chocolate-Hazelnut Cookie Drops. Gluten-Free Pumpkin, Oat and Cranberry Cookies. Flourless Peanut Butter Cookies. Oatmeal Pistachio Cookies.