Audacity - Audacity is a free and open-source audio production software suite that includes a surprising array of editing tools and recording systems.

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)

Audio Recorder - ‘Audio Recorder’ is a small utility for recording audio.

i-FunBox - General file management software for iPhone and other Apple products

Audio Record Wizard - How to record streaming audio with the streaming audio recorder - Audio Record Wizard.

iExplorer - iExplorer lets you easily transfer music, playlists, text messages, files and more from any iPhone, iPod, or iPad to a Mac or Windows computer and iTunes.