Hard-Boiled Egg & Banana Healthy Breakfast. For a quick and tasty breakfast, peel a banana and a hard-boiled egg, and enjoy. If you want to brighten up your morning, the sunny yellow of eggs and bananas is sure to fit the bill. Not only is this combination healthy, but it’s also satisfying and quick. It’s even portable—you can place a couple of hard-boiled eggs and a banana into your backpack or purse, and take your breakfast with you on the go. Whenever possible, opt for organic, free-range eggs and organic bananas.