Yes. I don't know if it's sensible to say you are proud of of your country of birth because that was a matter of chance, but I am very pleased that I live in the United Kingdom of Britain and Ireland to give it its proper name.
Despite a growing trend to trash everything to do with western democracies there are few places I would rather live. At its best 'Britishness' is an admirable set of characteristics.
I am also a big fan of the USA and its vital contribution to freedom.