Apple released iOS 6.1 Beta 5 to developers the other day and those who have A4 and below devices can jailbreak this using redsn0w. This is a tethered jailbreak and only available to those who have the new iOS 6.1 beta 5.
This latest beta version is a little different to other Apple releases in that the firmware activates without the need for developer registration. It doesn't have any expiry date either and the build ID is that of a final build meaning that this could actually end up being the final build of iOS 6.1. This means that this is the exact same software that the public will see going live in the near future.
A4 and below device owners can now jailbreak this version using Redsn0w. If you have an iPhone 4, iPhone 3GS or iPod touch 4 you will be able to liberate your device. As mentioned, this is a tethered jailbreak and not a huge comfort to those with the iPhone 4S or iPhone 5. As with all tethered jailbreaks, whenever the device is rebooted or entirely powered down and then back on it will need to be connected to a computer to be jailbroken again.
Those with the iPhone 5 or iPad mini shouldn't have to wait for too long until iOS 6.1 is released to the public and then we should see an untethered jailbreak being made available.