Any recommendation for anything is a reflection of the taste of the person making the recommendation. @Ann's opinion I absolutely correct.........for it being her opinion. I only wish she had found more personal enjoyment in Budapest. Maybe her next destination will be more enjoyable for her.
Unfortunately Ann went to two places I wouldn't have sent anyone to. Neither worked for her and I know exactly why.
Wild game, duck, goose, pork and just generally heavy meats as well as Pike is a lot of what Hungarian food is about. Hungarian/Jewish food is more of a matter of particular recipe than anything else. Budapest at one time had an extremely significant Jewish population so the influences were intense and moved in both directions. Kosher food is a different issue and there are only a couple of kosher restaurants in town; which also serve good duck. If you don't enjoy that type of food you just aren't going to enjoy Hungarian food. And I understand not enjoying it if that isn't your cup of tea.
I can’t remember seeing any NY Deli’s in Budapest or Prague or Vienna or Paris or …… I think they may be best found in, well, in NYC. It’s just not the culture in Central Europe. Not that one doesn’t exist, but ……. However, the butchers in the Market will slice meat for you to order; cheese I would imagine can be had likewise. Just can’t remember doing it.
The Market Hall does serve tourists and you will always find a lot of tourists there; but if you Google Images for Budapest Market Hall https://www.google.com/search?q=budapest+market+hall&safe=off&rls=com.microsoft:en-US:IE-Address&source=lnms&tbm=isch&sa=X&ei=4P4EVMmYOcu1ggTOtIJA&sqi=2&ved=0CAcQ_AUoAg&biw=1280&bih=580 you can see by the size and the diversity of the products being sold that this is a market for Hungarians to purchase food for their homes more than it is a tourist trap (with the exception of the trinkets and wares on the second floor I guess). Still, even on the second floor when we belly up to one of the standup tables to eat a link or a Langos it’s more often than not a Hungarian standing right and left of us. But, @Phil, that may not be your sort of thing. Do your research before you leave, if you ever go to Budapest, and make sure that Budapest is such that it is the sort of place you will enjoy. If we were all alike life would be boring.
Despite what your perception may be, the Bathhouses are overwhelmingly a Hungarian thing. These are anything but a tourist traps. I know Hungarians who have never been and Hungarians who go once a week. I know Americans who have never been to a Football or Baseball game as well as those that go every week. Last time I checked you could spend the day at most of the bath houses for about $10; and yes, for the current state of the economy it isn't something to take lightly.
Hungary, like anyplace you visit requires a little bravery to confront the unusual and the unknown. But that’s how you learn about the world. I’ve been to a lot places, diverse as Honduras, Egypt, Russia, Bulgaria, the UK and Hungary. I have been in terrible hotel rooms and eaten atrocious food and on at least one occasion been a little concerned for my safety; but I have never had an experience that I didn’t learn something from or ultimately been able to say that I enjoyed.