Backup+

This app supports backup of things that aren't usually offered by other apps:

1. Current wallpapers, built-in wallpapers
2. Ringtones, alarms, notifications, other OS sounds
3. Installed apps of all kinds
4. Fonts and even boot animations.

For more information, questions and answers, visit the website.
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Note: for installing APK files, you will need another, installer-app, such as this one that I've created:
https://play.google.com/store/apps/details?id=com.lb.app_manager