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)
Wondershare MobileTrans - Wondershare MobileTrans is a 1-Click Phone to Phone Transfer for you to move data between devices with different operating systems. Your must-have phone Transfer.
checkra1n - Jailbreak for iPhone 5s through iPhone X, iOS 12.0 and up
SynciOS Data Transfer - SynciOS Data Transfer is a mobile app that acts as a third-party alternative to the standard syncing app on the Mac system, which is iTunes.
Blackra1n - (This is an OUTDATED jailbreaking method.)
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.