The all-star jailbreaking team known as the evad3rs have finally released the long awaited untethered iOS 6 jailbreak. The new jailbreak entitled "evasi0n" supports all devices capable of running iOS 6 or iOS 6.1, except the third-gen Apple TV. This includes the iPhone 5, newest iPads and the iPad mini. You can now download the Mac OS X, Linux or Windows versions of evasi0n via the official website.
As always, you should backup your iOS device using iTunes or iCloud before using any jailbreak. And the evad3rs also warn to be patient, and not to start iTunes or Xcode while the jailbreak is running.