Blackra1n - (This is an OUTDATED jailbreaking method.)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)
greenpois0n - Greenpois0n performs an untethered jailbreak for iOS 4.
checkra1n - Jailbreak for iPhone 5s through iPhone X, iOS 12.0 and up
unc0ver - The most advanced jailbreak tool.
iToolab FixGo - When your iOS device gets stuck on the white/black screen, Apple Logo, Recovery/DFU Mode, restart loop, is bricked, as a frozen screen or simply won’t start, iToolab FixGo is the ideal solution for you.