Jaksta Media Recorder is well known as an all in one a.abcnews.com Downloader, a.abcnews.com Recorder and a.abcnews.com Capture Tool and allows the downloading, recording and capturing of Video, Music and Radio.
Its easy to use Jaksta Media Recorder's Digital Video Recorder Capture Method to record from a.abcnews.com.
More detailed steps are available in the How to Download from a.abcnews.com Guide