Create a Looping USB stick?

If the TV has a USB port, it may (probably does) already have a media player built in to its firmware. So, you just need to encode the video in format that the built in video player can play. The only thing you need to determine is wether the video player built in to the TV has the ability to loop a video. Some TVs have a slideshow feature that can play video - so you could set up a playlist of just one video that would loop, or a combination of videos and stills. But if the TV cannot do any of that, a little media player like the one Duncan recommends would be the way to go.

On an unrelated note, I love the way the voiceover talent says shutters.