The BBC have just started streaming some of their programs in 720p – the first time you can get real HD television in the UK without Satelite or Cable. With Version 2.8.1, TunerFreeMCE has added support for these streams. Just set the preferences to default to HD, and the HD streams will be shown when available. Also upgrade to this version to allow non-HD feeds to keep auto-playing and going full screen.
One word of warning – HD streams are broadcast at 3200kbps, so an hours program is 1.44 GB of data, so make sure you have an unlimited data plan if you want to watch HD content.