Honestly, no.
Every country has people in it believing that, and songs accordingly. It is called nationalism, which is more common in some countries then others. If you would say those thinks over here, people would suspect you being a nazi.
This "America is the greatest country on earth"-slogan is pretty specific for the USA. It is so typical that it became a klischee, we call it "american pathos". It is the same category like beauty queens wishing world peace in a country leading two wars. It is the movie independence day with a american president being a jet fighter fighting aliens and saving the world, once again, and us thinking that this fits to the image the USA has of itself. It is right-wing nationalism as a political party (republicans) and 24h on tv (Fox News). It is "god bless america".
And there are those american politicians saying things like "we are the greatest country in the world" and "the land of the free". No other country has that, at least no democratic one and not with the same prevalence, to my knowing.
It is hybris, because in many objective ways, america is the worst countries in the world. Poverty, education, leading wars, prison system, death sentences, amount of guns per capita, killing and abduction of foreign civilians, torture of prisoners, broken democratic system, religious fanatism. No other country fails in so many ways so high, not even your beloved rogue states.
PS: Doesn't mean there are only bad parts, there are even great ones.
PPS: Your examples, "mother of all parliaments" and the tyranny-overthrowal in France, relates to historical events and facts. That is something else than a broad generic claim.