There's no way anyone can dispute the claim that Android is better than iOS when it comes to customization options. Beyond the ability to install launchers and overhaul the entire look of an Android device, users are able to arrange icons however they please on the home screen.
But iOS users aren't as fortunate, as Apple has stuck with its tried and true (more like tired) grid layout.
This free site creates custom icons, each of which belong in a specific spot on your home screen. As you can see in the screenshots below, the service shows you the placement for each icon. When an icon is in its proper spot, you have a pseudo-blank space where no app icon is visible.
The end result gives off the perception of an iOS home screen with icons placed anywhere you wish -- like a rebel, but sans jailbreak.
To use the service, visit http://makeovr.io/ using your iPhone 5, 6 or 6 Plus and follow the prompts. You'll need to change your home screen wallpaper to one of the select few on the site, or go through the process of uploading your own wallpaper and waiting for the service to create icons (it takes just a few seconds).
Sure, it takes a bit of time to setup and it's not perfect, but it's a solution that'll have to do.