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)
Recuva - Accidentally deleted an important file? Lost files after a computer crash?
Blackra1n - (This is an OUTDATED jailbreaking method.)
Disk Drill by Cleverfiles - Recover any type of deleted files in Windows & Mac including Office documents, messages, and media files quickly and easily.
checkra1n - Jailbreak for iPhone 5s through iPhone X, iOS 12.0 and up
EaseUS Data Recovery Wizard - Advanced data recovery software to do format recovery, unformat and recover deleted files emptied...