that was the first time England lost a game at home.

It wasn’t. It was the first home game they lost to a team from the European continent though.

This Hungary team only had 1 major tournament. Hungary withdrew from the 1950 WC, afaik it was because of the 1952 Olympics (which they won and I have no idea how highly it was regarded back then), then they played in the 1954 WC (there were no Euros at the time, it only started in 1960), and then the 1956 revolution happened.

Not sure why exactly you decided on Poland but they are at risk of not making the Euros because they couldn’t beat Moldova once out of 2 games.