Hungarian actually had a language reform in the late 1800s to remove foreign words and replace them with pure Hungarian equivalents. These days though, quite a few loanwords have crept back in. I'm not sure if the Latin-based words actually came via French or via English. And there are very many Slavic loan words in Hungarian too, and some Germanic ones. My favorite loan word in Hungarian is "vásziszdász" from German "Was ist das?", it's used to mean deal, as in "not a big deal", "nem egy nagy vásziszdász".