I'm from the UK which means that I'm from the country which has probably the second most dominant film and television industry in the world, after the USA (the other main competitors are Australia, India [well, Mumbai, meaning Bollywood], Canada, and then a smattering of more arty stuff from Europe, as most mainstream European films don't tend to get translated and released in English speaking countries...). The UK is also host to some of the most well-known musicians in the world, again second only to the USA, and we have something of a burgeoning and growing video games industry over here too, with firms like Codemasters and Lionhead being based in England.
My point is that regarding entertainment, the UK is pretty dominant and ranks among the most influential and important countries in the world. So we have a big say in how Brits are seen in entertainment. Fine, some tropes and cliches exist, like Brits tending to be villains and whatnot (as seen in the likes of Warehouse 13, Lost, and Heroes, among others). That being said, British people are becoming more of a widespread phenomenon working in the US, especially in the film and TV industry (Patrick Stewart, Hugh Laurie, Andrew Garfield, Dominic Monaghan, Emily Blunt, Ricky Gervais, etc.). So I honestly don't really know how the UK is displayed when it comes to other countries, if it's displayed differently to how these countries see themselves. I guess nowadays we're just seen in the same way other countries see their own people, when the cliches and tropes aren't being brought out to play with, at least...