Have you tried other fruit other than bananas such as kiwi, strawberries, melon, grapes and apples?
Besides fruit, my 2 year old also loves toast, bagels and english muffins with butter, fruit spread or flavored cream cheese on it. He also enjoys blueberry muffins, zucchini bread and banana bread. You can also try making potato pancakes for breakfast.
You may want to consider also introducing her to eating cereal in a bowl with milk like with cheerios or honey bunches of oats. Our son likes to eat those two types of cereals, too.
Do you grow any of your fruits and vegetables or ever go pick them from a farm? Sometimes by having your children partake in picking out the food, and prepping it will get them to eat it, because they are proud of the accomplishment of helping! My son loves to pick out the kiwi at the grocery store, and then he'll help me rinse them at home. He'll watch me slice them up and put them on a plate to share together. He loves to eat anything he sees us eating and what really helps is when one or both parents sit down with him to eat together! I hope that helps. :)