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)
checkra1n - Jailbreak for iPhone 5s through iPhone X, iOS 12.0 and up
i-FunBox - General file management software for iPhone and other Apple products
unc0ver - The most advanced jailbreak tool.
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.
Blackra1n - (This is an OUTDATED jailbreaking method.)