Princes Trust Award is a no go I'm afraid.
Sky Arts HD is an encrypted channel so only those people wealthy enough to have an HD capture card in their PC with whatever else is needed (it was £400 last time I looked) can capture these recordings.
The best you're going to get is someone who recorded the HD broadcast and then made a high bitrate DVD transfer from it (better source quality so better DVD recording).
As for the MTV awards, there are numerous recordings abound the internet, some of which were even posted here I believe.
Some have D.O.G.S, some don't.
Once you've got your HD file, whether it be ts, m2ts or mkv, you need something to play it back on.
Personally I use a WDTV live. Just plug in a hard drive and off you go!