You may take a look at this guide, it includes two parts. The first part will teach you how to download youtube video to computer for free, if you want to watch youtube video on TV, the second part will teach you how to burn YouTube video to DVD to play on standard DVD player, my friend sent it to me, it's easy to understand and works great for me. http://www.youtubetoipod.biz/free-download-bur n-youtube-video-to-dvd.html
Hope it helps.