i-FunBox is recommended for tech-savvy users who are comfortable working with third-party applications and need more robust file and app management options for their iOS devices. It's ideal for users who want to easily transfer files, perform app backups, or manage apps outside the limitations of iTunes.
iMazing - iMazing lets you transfer music, files, messages, apps and more from any iPhone, iPad, or iPod to a computer, Mac or PC. Manage and backup your iOS device simply without iTunes. (was DiskAid)
Vysor - Vysor lets you view and control your Android on your computer.
CopyTrans - CopyTrans is a tool for managing the files on your iPhone or iPad through your computer's interface.
iExplorer - iExplorer lets you easily transfer music, playlists, text messages, files and more from any iPhone, iPod, or iPad to a Mac or Windows computer and iTunes.
Touch Copy - TouchCopy allows you to transfer all your iPhone content back to your PC or a Mac. You can backup your Music, Photos, Videos Contacts and other media from your iPhone, iPad or iPod, as well as save and print your iPhone Messages.
SynciOS Manager - Syncios is a free yet powerful cellphone to PC transfer software which can help to transfer App, Music, Photo, Video and Ebook from PC to iPod/iPhone/iPad as well as Android Phone, Android to PC, iPhone PC and iPad to PC.