They are both Light Car Company Rockets designed by Gordon Murray. The one on the right has the lights retracted into the body. The car logo at the top of your still is the Rocket badge.
Thanks, bladerunner. They look as fun to drive as they do just sitting still. Just been watching the Jay Leno video on them: https://www.youtube.com/watch?v=gw43m0TVsZE
Shame they are so rare
Yes I think changes in regulations meant that that they stopped producing them after a short production run. There is nothing else like it in the kit car world apart from the Furore kit which doesn’t have the same classic styling. There must be a space in the market for another car like the Rocket.