Jaksta Media Recorder is well known as an all in one songza Downloader, songza Recorder and songza Capture Tool and allows the downloading, recording and capturing of Video, Music and Radio.
Its easy to use Jaksta Media Recorder to record from songza. Simply play songza in your browser, and a copy of the songza video is downloaded to your PC. You can also just drag and drop (or cut and paste) webpage urls containing videos directly from your browser and Jaksta Media Recorder will extact the video. Its as simple as that!
More detailed steps are available in the How to Download from songza Guide