checkra1n - Jailbreak for iPhone 5s through iPhone X, iOS 12.0 and up
Blackra1n - (This is an OUTDATED jailbreaking method.)
unc0ver - The most advanced jailbreak tool.
3uTools - 3uTools is a most efficient iOS file and data management tool for Apple users.
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.