sn0wbreeze - sn0wbreeze is an advanced jailbreaking tool that lets you build a custom IPSW ("iPhone...
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)
Blackra1n - (This is an OUTDATED jailbreaking method.)
greenpois0n - Greenpois0n performs an untethered jailbreak for iOS 4.
unc0ver - The most advanced jailbreak tool.
Absinthe - Absinthe is a tool by the makers of greenpois0n that provides an untethered jailbreak on iOS 5.1.