So, first feed the baby:
https://www.dropbox.com/s/2f8rdtqc5rb4s ... n.mp3?dl=0
General had actually two line-ups - they switched in 1976 from catchy-sugar-baby-shalala to commie-style-funk. Yeti is apparently the second line-up ;)
Syrius was an interesting, but short-lived band. They recorded an album in Australia, their singer and bass player (Jackie Orszaczky) emigrated there a bit later, and just after communist era their albums were finally released. You can imagine how "popular" the band was with the political leaders of Hungary in the 70s.
Locomotiv GT had a few line ups, from prog to pop. One of my personal favourites is
https://www.youtube.com/watch?v=Zy7yKtWGqK8 (I call it Hungarian Samba ;D), I like the drummer ;)
The Hungarian folk songs (not gypsy music, by the way) can be seen from different angles. I have to go back around 1000 years, because this is roughly the time the Kigdom of Hungary was established.
- region
The Hungarian territory has (been) changed a few times in the last 1000 years, some Hungarian folk music is now located in neighboring countries and not necessarily listed as 'Hungarian', but maybe 'Szekler', 'Wallachian' or similar (see:
https://www.youtube.com/watch?v=e_NRVU_XEIc)
- population
The Hungarian population is a quite a mix: Serbians, Germans, Croats, Greeks living on the Hungarian territory (roughly between the years 1000 and 1880) all have their more or less isolated settlements with their own cultural and social life - in the past much more than today. Interestingly, German music has nearly no impact on Hungarian folk music over the last 1000 years (this can be discussed separately, the reasons are many). Of course there are other folk groups with their own music, eg. the music of the Csango
https://www.youtube.com/watch?v=5MCmFCMmkb0
- era
This is strongly depending on region and population. Hungarian prehistoric music shares roots with the Ugric folk music (
https://www.youtube.com/watch?v=57lWg1-Iam8) and was later influenced by Slavian and Turkic music, latter to a much lesser extent than the music of the Balkans.
- dances
Songs and their dances usually have some reason or expected result, for example recruiting young men (verbunkos), joining the army (csardas), showing off to the girls in the hood (legenyes) to name a few. I am not an expert on dances, but by knowing the names of the dances it is a tad easier to find folk music.
- instruments and arrangements
The points above have (vice versa) impact on the instruments in use, and of course the musical arrangement. A very good example is
https://www.youtube.com/watch?v=NSyqj1DXZKg which is also from the Csangos (see above) in a much brighter, lighter sound. No violins and dulcimer (cimbalom) here, because these instruments came a few hundred years later... and many Hungarians would regard this linked sample as the original Hungarian folk music, and not the so-called coffee-house gypsy music: the gypsies came in the 15th century, some were appointed court musicians or played for entertaining purposes. Of course their presence at parties and other social gatherings has changed the musical landscape.
- style
All of the aforementioned points define the style (usually, categorized by region firstly, then by style). Csardas? You can have it as Szilagysag variant (today Romania)
https://www.youtube.com/watch?v=u1eGwQPJ7Dw or maybe Szatmar style (North-East Hungary, North-West Romania)
https://www.youtube.com/watch?v=hm8ELdbW4O4 or the Great Plain style (Southern Hungary) played on a hurdy-gurdy
https://www.youtube.com/watch?v=gPi9qwUgSuM ;)
Hope this answers your question a bit :)