In case this is not obvious to you, at least from what I know, courses in English is are also a funding source for the unis, so they will offer 'popular' subjects, like medicine, veterinary medicine, engineering to foreign students for a nice tuition fee. I just saw the word "physiotherapy" popping up in one of the below 'study-in-hungary' sites.
If you are EU citizen and understand Hungarian, and are good enough to master the entry exam for your desired degree course, you may be able to study for free.
Most non-hungarian courses are obviously offered in english(some unis still do german to get the germans who wanted to study medicine and vet.med. but did not manage the entry at home).
As for fees and costs: You need to look up your subject, but tuition fee for 'general medicine' is currently 16k USD/year in Debrecen; I guess price differences are small between unis. Pharmacy is 9k/year in Debrecen(says my flatmate who will choose the latter for this very reason). As for living costs, this may be in the range between 500-1000 USD/month, depending on your lifestyle (I am talking about student lifestyle, flatshare etc., of course many richer students spend more, but most hungarian grown-ups spend less). Needless to say, Budapest is the most expensive, and also offers most diversions for the mind and the purse.
Largest unis and Schools in Budapest:
* Semmelweis Medical University - that is probably where you should look first
* BME-thechnical university, but also some economics degrees
* ELTE - Hungary's flagship 'universitas generalis', no medicine or engineering
* Covinus Uni- Economics and other scools merged into it;
You may want to consider the other large Unis -
Szeged, Debrecen, Pécs (in the order of their general reputation, but e.g. for Medicine, Debrecen is up there with Semmelweis).
These pages seem like a good start to find relevant universities in Budapest, Szeged, Pécs:
http://www.thecompleteuniversityguide.c … n-hungary/http://www.topuniversities.com/where-to … gary/guidehttp://www.studyhungary.hu/
Uni Debrecen is often marketing itself separately, but here is the website:
http://www.unideb.hu/portal/en/courselist
This Uni (where I am living now) has roughly 20k regular university level sutdents and is perhaps most successful in attracting foreign (paying) students, namely around 3000 are here; mainly from far and middle east, africa, also from europe (somewhere in the uni website you can find the exact numbers)
I heard from colleagues in Budapest, it seems to be the best organized research institute in the country in terms of paperwork, etc. (this is from the perspective of teachers and researchers, but perhaps relevant for students).
However, the University of Debrecen is - prepare yourself as this may come as a shock - in the city of Debrecen which is the second largest, but somewhat lower-paced city in Hungary. Rumour has it, Szeged and Pécs offer livelier life, I do not know them well enough to say, but am finding D a bit slow)
In Debrecen students communicate via facebook, so you can try there. but they will probably not know much about other places in hungary. This may be true for the other unis as well.