If this post is being upvoted because of "Tibet" please remember that the US, UK and every other EU member state officially recognizes Tibet as part of the sovereign territory of China.
[1] For example, barring people from getting a Chinese visa for life for publicly making pro-Tibet statements.
Another: you need an "internal" visa, issued from within China, to get into Tibet [2]. If you mention on your visa application to get into China in the first place, however, that you want to visit Tibet, your Chinese visa is automatically denied. Essentially, you have to lie to the state about the purpose of your trip, if you want to visit Tibet. No, they don't have any issues there at all...
[2] Unless you're flying into Lhasa from Kathmandu, where you can get a direct-entry visa.
EDIT: footnotes.