Gluten Free and Dairy Free Banana Pudding Recipe (Healthy, Homemade, Refined Sugar Free + Video). Looking for a gluten free banana pudding dessert? These creamy layers of dairy free vanilla pudding, ripe bananas, and gluten free vanilla wafer cookies are impossible to resist! This gluten free banana pudding is made from scratch with homemade healthy vanilla wafer cookies – crispy, light and crunchy and without refined sugar. #bananapudding #glutenfreebananapudding #dairyfreebananapudding #healthy