Coolmuster iOS Assistant - Coolmuster iOS Assistant is an all-in-one software to back up iOS device with three ways and to freely manage iPhone/iPad/iPod devices on the computer.
iMazing - iMazing lets you transfer music, files, messages, apps and more from any iPhone, iPad, or iPod to a computer, Mac or PC. Manage and backup your iOS device simply without iTunes. (was DiskAid)
checkra1n - Jailbreak for iPhone 5s through iPhone X, iOS 12.0 and up
FonePaw iOS Transfer - FonePaw, your Tech Pro, aims to provide data management software for iPhone, Android, Windows and Mac so that you can be a master of all devices.
Blackra1n - (This is an OUTDATED jailbreaking method.)
SynciOS Manager - Syncios is a free yet powerful cellphone to PC transfer software which can help to transfer App, Music, Photo, Video and Ebook from PC to iPod/iPhone/iPad as well as Android Phone, Android to PC, iPhone PC and iPad to PC.