What shouldn't be missed when visiting Hungary

In Budapest -- an afternoon at the Szechenyi Baths!

Agree with the baths, lovely afternoon. Also St. Matthias Church on the Buda side, Hungarian Parliament, and memorial to the Holocaust victims entitled Shoes on the Danube (right near the parliament building on the waterfront)

So its a 6 to 7 hour train ride from Passau to to Budapest. The route is through Vienna and Gyor; so those are two good options for getting off for a day and breaking up the trip. I like Gyor quite a bit. The old town center is attractive and just out side of town is the Archabbey at Pannonhalma which i really enjoyed visiting. In Gyor look at spending the night at the Hotel Klastrom a converted 18th century monastery. From Gyor its about 1.5 hours to Budapest.

What to see in Budapest. Assuming you spend the better part of 5 days there you can see about 75% of what most people go to see. Get a good guide like Ricks or the DK Eyewitness Guide https://www.amazon.com/DK-Eyewitness-Travel-Guide-Budapest/dp/1465457291/ref=sr_1_1?ie=UTF8&qid=1516908183&sr=8-1&keywords=eyewitness+guide+budapest

Are there any art museums or types of cuisine in Budapest that should not be missed? Or any day trips from that city that are worthwhile? I am staying an extra two days after my 8 day budapest-prague tour. I think the baths are included as part of the tour.

Are there any art museums or types of cuisine in Budapest that should
not be missed? Or any day trips from that city that are worthwhile? I
am staying an extra two days after my 8 day budapest-prague tour. I
think the baths are included as part of the tour.

eva, two days in Budapest isn't much. But you can make the most of it. Rather than me throwing out a bunch of ideas; let me know what neighborhood you are staying in and the dates and i can maybe help maximize the time and let you know if there is anything special going on in town. I would avoid day trips it you just have 2 or 3 days in town.....

For food (and or experience) my top choices are

EXCELLENT HUNG / JEWISH ($$)
MACESZ HUSZÁR
For excellent traditional food, this is pretty hard to beat.
District VII, Dob street 26.
+36 1 787 6164 / +36 30 499 5585
www.maceszhuszar.hu

GYPSY MUSIC & GOOD FOOD ($$$)
RÉZKAKAS BISTRO
If you want to hear gypsy music and feel the character of east meeting west, then this is the best of the few similar places in town. Food and service are pretty excellent.
District V, Sas utca 3
+36 1 318-0038 / +36 1 267-0349
http://www.rezkakasbistro.hu

VERY GOOD HUNGARIAN FOOD FOR THE PRICE ($$)
BELVÁROSI LUGAS VENDÉGLŐ
Really, really good food in a great location behind St Stephen's Stuffed cabbage is my favorite and Eva is one of the best waitresses in town.
District VI, Bajcsy Zsilinszky u.15
+36 1 302 5393
http://lugas-etterem.com/

MY FAVORITE WINE BAR HAS GREAT FOOD. ($$)
KADARKA BÁR
A required evening stop for everyone.
District VI, Király utca 42
+36 1 266 5094
http://kadarkawinebar.com/

SWORD FIGHTS & BELLY
DANCERS ($$)
SIR LANCELOT
What can i say. I love it enough to return and return.

District VI, Podmaniczky u. 14
www.sirlancelot.hu
+36 1 302 4456

Warning - do not, I repeat not, have the chocolate souffle at Kadarka. It is addictive. Also, beware if anyone offers you a glass of palinka - it's sort of like liquid TNT.

I loved Hungary and hope to get back sooner than later. So much to see and do in Budapest, great food, excellent wines, friendly people. Spend a sunny afternoon on Marian Island. Go to the opera, also a concert at the basilica.