Best example I have is the whole navigation structure (this is on iPhone). Let's say you were listening to a playlist and then you went into an artist, maybe a related artist from there and played a song (basically, you've gone pretty deep). You now decide to search for a song and play that. In order to do that, you need to hit the back button repeatedly until the hamburger icon appears. Then, you can search and listen to the track you wanted. If you want to return to where you were previously, you need to hit the back button repeatedly until you get the hamburger, then redo every step you took to get there.
How is this fixable? Really easily! It's built-in! There's a UITabBarController that is used in many apps, such as iTunes, for this exact purpose. You can switch between sections of an app without losing your place in each section.