If you guys are referring to American animosity to the British that led to the American Revolution, it all boils down to British abuse of their colonies to fuel their wars in Europe.
Americans just wanted to be left alone in their far-flung settlements, content with farming and other economic/religious stuff. But their British overlords, forever intervening in Continental Europe's wars, kept imposing taxes to fund their military adventures.
So the Americans had enough, and sought to break off the British Empire.
As for cultural animosity? Can be summarized to: the Brits look at Americans as their "savage" children, devoid of culture and complexity (their backwater colonies), while the Americans view the Brits as "sensitive" soy boys who can't even stand on their own in big conflicts.
This is just based on observation. An American and a British can shed more light in this; I'm a Filipino, so...
Ahem.
As for Hungary, this country was once part of an empire known as Austria-Hungary. Back then, Austria-Hungary was a dual crown, basically separate states united by a single ruler, which is the Habsburg Emperor.
So, when Austria-Hungary marched into Serbian territory at start of WW1, it dragged the Hungarians into the war. And the Central Powers of Europe, of which, Austria-Hungary is part of, lost.
