Apple just recently released iOS 9.3.3 and the guys over at Pangu released a brand new iOS 9.3.3 Jailbreak utility! As of right now they are using their partner PP25 to handle the jailbreak that is currently only available on Windows machines and is in Chinese. Expect to see an English and Mac version soon.
Below is a video guide done by iCrackUriDevice. It will guide you on how to jailbreak iOS 9.3.3.
Please note that this is not a full untethered jailbreak. There are a few steps that you will need to do each and every time you reboot your machine. Luckily, unlike previous tethered jailbreaks you do not need to hook your device up to the computer every time you reboot. All you have to do is open up the jailbreak app on your phone and press a button.
Thanks to Pangu we can all have jailbroken devices until the release of iOS 10 and the iPhone 7!