Pangu Jailbreak iOS 9.3.3
There are many jailbreak tools since the beginning of jailbreak.However here we considering about most recent jailbreak releases. Users can select the jailbreak method from the following list according to their iOS device and iOS versions.

Pangu Anzhuang

Pangu Anzhuang is a simple application which is allow you to install jailbreak apps to latest iOS versions. This is an online jailbreak solution for iPhone Jailbreak, iPad Jailbreak as well as iPod Jailbreak. You cannot install it directly to your device. You have to use a 3rd party application manager such as zJailbreak install the Anzhuang.
Compatible Devices - iPhone X, iPhone 8, iPhone 8 Plus, iPhone 7 & 7 Plus, iPhone 6S & 6S Plus, iPhone 6 & 6 Plus/iPhone SE, iPhone 5S, iPhone 5, iPhone 5C,iPhone 4s,iPad Mini 2, iPad Mini 3, iPad Mini 4, iPad Air, iPad Air 2, iPad Pro, iPad mini, iPad 2, iPad 3rd gen, iPad 4th gen, iPod Touch 6, iPod Touch 5th gen.
Compatible iOS versions - iOS 11.2, iOS 11.1.2,iOS 11.1.1, iOS 11.1, iOS 11.0.3,iOS 11.0.2, iOS 11.0.1,iOS 11, iOS 10.3.3, iOS 10.3.2,iOS 10.3.1 iOS 10.3, iOS 10.2.1,iOS 10.2.

Pangu8 JB Installer

Pangu8 JB Installer is a PC required jailbreak alternative solution. It is possible to install non system rooted jailbreak apps for the latest devices using this tool through Cydia Impactor.
Compatible Devices -  iPhone 7 & 7 Plus, iPhone 6S & 6S Plus, iPhone 6 & 6 Plus/iPhone SE, iPhone 5S, iPhone 5, iPhone 5C,iPhone 4s,iPad Mini 2, iPad Mini 3, iPad Mini 4, iPad Air, iPad Air 2, iPad Pro, iPad mini, iPad 2, iPad 3rd gen, iPad 4th gen,, iPod Touch 6, iPod Touch 5th gen.
Compatible iOS versions - iOS 10.3.3
Please note : Currently Pangu8 JB installer is obsoleted. We apologies for the inconvenience. This is unavoidable circumstance and we are upgrading Pangu8 JB installer ASAP.

Pangu9

Pangu9 tool released to jailbreak iOS 9 to iOS 9.1 versions. It was supported for all the 64-bit devices only. Windows and Mac versions were available.
Pangu Team individually made this tool to jailbreak iOS 9.2 - 9.3.3 (English)  is an IPA file based Jailbreak using PP Assistant Chinese jailbreak method.
Pangu iOS 9.2 - 9.3.3 Jailbreak (Chinese)  is the combination tool with PP Jailbreak team. This tool is the same with above English tool.
Compatible Devices - iPhone 7 & 7 Plus, iPhone 6S & 6S Plus, iPhone 6 & 6 Plus/iPhone SE, iPhone 5D,  iPad Mini 2, iPad Mini 3, iPad Mini 4, iPad Air, iPad Air 2, iPad Pro, iPod Touch 6.
Compatible iOS versions - iOS 9.3.3, iOS 9.3.2, iOS 9.3.1, iOS 9.3, iOS 9.2.1, iOS 9.2, iOS 9.1, iOS 9.0.2, iOS 9.0.1, iOS 9.0

Apple TV Jailbreak by Pangu

Team Pangu released jailbreak tool for Apple TV 4.This Jailbreak tool is only available with Mac OS and this  tool is not compatible with Apple TV 3. 
Compatible Devices - Apple TV 4
Compatible iOS versions - tvOS 9.0.1, tvOS 9.0

Other Jailbreak supports

Keen Jailbreak

Liang Chen demonstrated the iPhone X jailbreak possibility at PoC 2017 as well as iOS 11 jailbreak at  MOSEC 2017. Keen Jailbreak is not a public jailbreak tool at this moment.
Compatible Devices - iPhoneX, iPhone 7,iPhone 6
Compatible iOS versions - iOS 11.1.1, iOS 11 , iOS 10.3.2

Yalu103 Jailbreak

Yalu103 Jailbreak tool is available only for the developers. Public version is going to release soon for both Windows and Mac users.
Compatible Devices - All 64-bit devices
Compatible iOS versions - iOS 10.3 to iOS 10.3.2.

Saigon Jailbreak

Saigon Jailbreak is a semi Untethered tool developed by Abraham Masri (iabem97/cheesecakeufo). It supports to jailbreak all the 64-bit devices. 32-bit devices cannot jailbreak with this.
Compatible Devices - All 64-bit devices
Compatible iOS versions - iOS 10.2.1

Yalu102 Jailbreak

Yalu 102 is a Semi tethered jailbreak released by Luca Todesco. This is compatible with all the 64 bit versions except the iPhone 7 and iPhone 7 Plus devices.
Compatible Devices - All 64-bit devices
Compatible iOS versions - iOS 10 to iOS 10.2

Yalu extra_recipe+yaluX tool

Yalu extra_recipe+yaluX tool is the updated version of yalu mach_portal tool and Tool developed by xerub & ianbeer download. Yalu  mach_portal tool has expired now.
Compatible Devices - iPhone7/iPhone7 plus
Compatible iOS versions - iOS 10.1.1

Phoenix Jailbreak

Phoenix Jailbreak is a jailbreak tool released by Siguza and tihmstar. Phnix Jailbreak tool supports to jailbreak all the 32-bit devices. It has two methods to install Cydia. PC support required for one process. Another way is an online solution and no need the pc support.
Compatible Devices - All 32-bit devices
Compatible iOS versions - iOS 9.3.5

BetterHomeDepot

The jk9357 team released BetterHomeDepot jailbreak as Semi-tethered jailbreak for all 32-bit devices. It is available to download as Windows, Mac or Linux version of the Home Depot tool.
Compatible Devices - All 32-bit devices
Compatible iOS versions - iOS 9.1 to iOS 9.3.4

EtasonJB

Tihmstar released EtasonJB tool to jailbreak iOS 8.4.1 version. This tool works as fully untethered jailbreak for all the 32-bit devices only.
Compatible Devices - All 32-bit devices
Compatible iOS versions - iOS 8.4.1

TaiG jailbreak

TaiG jailbreak solution released through three versions to jailbreak all the iOS 8 versions excluding iOS 8.4.1 by Chinese TaiG Team. Initially, they released TaiG Jailbreak  tool version 1.2.1, another version for iOS 8.2 beta and finally they released version 2.4.5.
Compatible Devices - All 64-bit & 32-bit devices
Compatible iOS versions - iOS 8  to  iOS 8.4