Larry,
Try this Hungarian site:-
www.harmonikainfo.hu.
Hit Galeria, then Videok, and if you watch the second video it will give you some idea. Unfortunately, the names of the tunes are not given.
However, if you navigate to Tagjaink (members), youll get a list of popular Hungarian accordionists, and you can look for them on You Tube
This guy has his own website, and if you hit zene (music), he has posted a few MP 3 clips of manageable sounding titles with the names of the tracks listed:-
http://www.kico.hu/
It should at least give you something to work on.
After a few days you can maybe try this:
Its really very easy (to listen to).
Hungarian accordion music is a bit of a mixed bag, athough they love the Balkan stuff. Zoltan Orosz is generally acknowledged as being the best contemporary Hungarian accordionist.
They also have their own version of gypsy accordion music:-