When you think of Hungarian Music, you think of Kodaly, Liszt, Bartok and perhaps a few other famous Hungarian composers. Below i tried to assemble a collection from amazon.com's music offerings that gives you a taste of Hungarian music from a
slightly different angle.
More Hungarian classicals:

The
the music of Gyorgy Ligeti.

On amazon.com you can listen to samples from all 21 of Brahms'
Hungarian dances performed by the Budapest Symphony Orchestra.
As one reviewer put it: "Besides the obvious connection that Budapest is in Hungary, the Budapest Symphony Orchestra has this music in their veins. I have yet to hear a more lively, idiomatic account of these brilliant dances and don't let the budget price fool you. This is a top shelf performance and recording. I often compare this version to Abbado's recording with the Vienna Philharmonic and this one wins hands down. At this price it is a steal."