iOS 4.3 was just released yesterday and the jailbreak community has already been hard at work exploiting the new software. An untethered jailbreak for the new Apple TV update is now available with Seas0nPass and an untethered jailbreak for the iPhone, iPad, and iPod touch is currently in alpha stage.
The Seas0nPass jailbreak comes from the folks at Firecore and all you need to do is download the jailbreak here, get a micro USB cable, and run the installer. Seas0nPass also includes some fun extras like NitoTV. The latest Apple TV update adds MLB and NBA TV integration and other new features, too.
iOS 4.3 for mobile iOS devices is now alpha stage, with no scheduled release date. Check out a video of that above.