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)
SyncDroid - SyncDroid is basically and iOS and Android smartphone manager that lets the users of both smartphones to transfer their mobile content from one smartphone to another within few simple steps.
i-FunBox - General file management software for iPhone and other Apple products
Jihosoft Phone Transfer - This mobile data transfer application is also called as one click phone to phone data transfer application because of making the process of data transferring really easy and simple for its users.
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.
Phone Transfer - Phone Transfer is basically a data manager that support for the transferring of data from one smartphone to another one.