Blackra1n - (This is an OUTDATED jailbreaking method.)
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
iFaith - iFaith is a program that can save the SHSH blobs of the current version of iOS that's running...
iSHSHit - iSHSHit allows you to backup your SHSH blobs from Apple directly on your iDevice for later...
unc0ver - The most advanced jailbreak tool.