There are some jailbreak tools available for the purpose of jailbreakig your device and these tools are avaiable for iOS 10.3 - iOS 10.3.3 higher versions. Lets have a look of these tools.
Thanks to Jonathan Levin, Creator of LiberiOS. This is the only available jailbreak tool for iOS 11 presently and is semi untethered in nature.Supports all iOS devices running on iOS 11 - 11.1.2.
Cydia is not yet included in this and as per the remarks of Saurik, it will soon be available.
Read more on LiberiOS
Tihmstar and Zigusa released h3lix Jailbreak for all 32 bit iOS devices running on 10.3.3.
It's a semi untethered jailbreak tool which demands you to connect your device to a PC every time you reboot your device
Read more on h3lix Jailbreak
Yalu is a series of semi-untethered jailbreak.
Developed by Luca Todesco (qwertyoruiop), this was initially released as an incomplete iOS 8.4.1 code sign and sandbox bypass.This was altered by various contributors.
A new version of a beta of yalu released in the form of an IPA. That beta supported some devices running iOS 10.1-10.1.1. Later, another version was released supporting iOS 10.0-10.2.
This is an untethered jailbreak for all devices on iOS 8.0-8.4, except Apple TV and Apple Watch.
First beta released on 2015 and then an updated version released supporting 8.0-8.2 as beta 2. Later another updated tool(2.0.0) was released to support 8.1.3-8.4.
Recently a new package of Yalu was released as a package to jailbreak iOS 10.0.1-10.2 semi-untethered.
Pangu offers series of jailbreaks for all devices on iOS 9
9.0 ,9.1 (untethered), 9.2 through 9.3.3 on 64-bit devices (semi-untethered) and Apple TV (4th generation) running tvOS 9.0 - 9.0.1 (untethered).
An on-device jailbreak was released recently by team pangu.
Home Depot is a semi-untethered jailbreak.
This has built for 32-bit devices on iOS 9.1 - 9.3.4.. It was written by jk9357 and this works by sideloading an IPA using Cydia Impactor.
The latest releases, RC1 and above, support all 32-bit devices on iOS 9.1-9.3.4.