Remember, unless you suffer from specific food sensitivities, you can have anything in moderation. Almost all foods contain some fat naturally so a fat free diet is virtually impossible. So what can you eat. Whole grain breads and rolls are a great start. Skip the butter or margarine and just use jam for a nearly fat free start.
Bagels are another great choice.
They come in a variety of flavors, are almost always fat free and they are easy to find. Just watch out for the cream cheese, try reduced fat or nonfat cream cheese or your favorite jam. Muffins can be loaded with hidden fat and calories. Many popular muffin mixes are now available in reduced fat versions and for the ready to eat crowd, Pepperidge Farms Wholesome Choice varieties are a good option. English muffins are another good selection.