Hi Lilro
I have no experience on connecting an Ipod directly to a TV - however, there are ways I believe from my brief skim reading of media players etc.
What I wanted to point out is that as the shows you've downloaded to your Ipod are more than likely quite compressed files, when you play them back on a large screen TV the resulting video will probably look quite atrocious. It'll most likely be pixellated and not really very watchable and thus, enjoyable. This is due to the compression used to make the file fit into your ipod and also the resolution used to achieve that - they'll be quite low ratios.
Have a look at Media streamers as well as some of them can play back MP4 movies and/or DRM/Apple TV formats. Please do some more research on Apple forums etc for more info.
Cheers, DtM! West London & Slough UK!