Good call WP - a regular watch from me is Today in Parliament if there is something I wish to understand without the bias and personal beliefs. My morning coffee is often accompanied with "(day) in parliament" highlights from the day before. Sometimes though as its the BBC it can be very bias so it is better if you are really interested to watch the whole debate on i-player without any cuts.
Here is the "Exiting the European Unions Select Committee" that you mentioned. I hope everyone watches it with an open mind and does not get up and make a cup of tea when the positive/negative bit whichever they disagree with comes on ;-) http://www.bbc.co.uk/iplayer/episode...e-eu-committee