Checkra1n jailbreak is the only semi-tethered offline jailbreak tool that has ever been released for iOS 14.6, iOS 14.7, iOS 14.7.1, iOS 14.8 & iOS 14.8.1 versions. Supports for Mac, Linux & Windows.
Fugu is an untethered jailbreak based on the checkm8 jailbreak exploit. Currently supported on the latest devices, iPhone A12 and above.
Unc0ver Jailbreak is one of the best online jailbreak tools in the jailbreak world. Unc0ver jailbreak tool supports for iOS 13 - iOS 14.5.1 versions and compatible with A5 - A14 devices.
Taurine is another unique online jailbreak tool that supports iOS 14 - iOS 14.3 on A14 and below devices. And this can easily be downloaded with Breakjail.
The most awaited jailbreak tool for iOS 14. Manticore jailbreak would bring support for the A12 and below iPhone devices running iOS 14 - iOS 14.3 versions as the Project Manticore team said.