To get some more Hungarian restaurants in the list I visited Restaurant Kisvigadó in 11th district. Restaurant Kisvigadó is a small but nice and comfortable Hungarian restaurant with really good food and good sized dishes.
Nevertheless I found 2 things which I absolutely did not like there. The service was so slow that we could order food after beeing there for about 1 hour. If we would have said something maybe after 30 minutes would have been possible but the waiter just too busy serving all the guests. The second thing I didn’t like was the fact that this restaurant closes around 10pm which is not too bad but they didn’t even asked us for a last round which I absolutly don’t understand.

It might look like that everything has ben bad there but it was not really. These were just 2 points I didn’t like at all, thats why I write them down. In total the Restaurant Kisvigadó was absolutly fantastic, especially the food. So if you search for a bit overpriced but very good Hungarian food Restaurant Kisvigadó is the place to go. 

Adress:
Villányi út 34., 1113 Budapest

Related:

Well the chosen name of restaurant Fakanál is a bit… hilarious but nevertheless the restaurant Fakanál in Budapest is a good place to eat. Situated in the city centre, right in the grand market hall the restaurant Fakanál is easily accessible for everybody. 
The restaurant offers not really high class fodd rather than lunch dishes for working people, so fast but good and especially cheap. If you want to grap quickly some Hungarian food and you are around restaurant Fakanál is a good place to go. 

Address:
Vamhaz krt, 1, Budapest.
Reservations: +36 1 217 78 60

The restaurant Vörös Postakocsi in Budapest is an authentic Hungarian restaurant located in one of the most famous streets for restaurants in Budapest, the Ráday utca. Here you will get exactly the food that Hungarians see as their traditional dishes such as Goulash soup, goose liver, fish soup or pickeled vegetables.

But not just the food and drinks are typical Hungarian in restaurant Vörös Postakocsi, also the atmosphere is Hungarian with live music, dancing and much more. Vörös Postakocsi means in English “red postcar”
In the summertime the restaurant Vörös Postakocsi in Budapest offers a lot of seats outside to enjoy the sun or the warm summer evening next to your Hungarian dish and drink. The prices are average but for the served quality they are absolutly justified.
Enjoy an evening in traditional atmosphere with good food in restaurant Vörös Postakocsi in Budapest. 

Address:
Raday utca 15
1092 Budapest, Hungary
Tel: +36-1-217-6756
Fax: +36-1-215-0044
Website
Opening hours: 11.30 a.m – 12.00 p.m.

Régi Sipos Halászkert in Budapest is known for it’s fishsoup. If somebody from Budapest wants to eat fishsoup restaurant Régi Sipos is the place to go. Other than this the restaurant is quiet touristic with a typical gipsy band playing around you which can be anoying after a while. Pay attention in this restaurant because the tip is in the bill already. Here they don’t put a certain percentage on the bill but round up the bill to the amount they want. So do not give any tip.

Nevertheless the fish dishes are very good and in christmas time Hungarians even come and take away the fish soup because it is really the best place to have one in Budapest. 

Adress: 
Lajos u. 46.
District 3, 1036 Budapest.
Reservations: +36-1 368 6480
website

Restaurant Kárpátia Budapest is located at Ferenciek tere, in the middle of the touristic heart of Budapest. Thats what Restaurant Karpatia is like. Folk musicians playing traditional songs singing “salamis, gulyas, paprikas” so every stereotype is served here. The food is more expensive than it tasts. For sure the kitchen is not the worst but it is defenetly not representing the Hungarians best cooking. I ate a duck leg which was too dry and the side dish tasted like frozen food and not fresh made.

If you want music, nice decoration and Hungarian ambience Restaurant Karpatia is a good adress but don’t expect the food to be world class and bring a full wallet. 5 persons more than 200€ is defenetly expensive for Hungary and specially for the quality of the food. 

Adress: 
Ferenciek tere 7-8.
District 5, 1053 Budapest
Reservations: +36-1 317-3596

Normafa usually describes a very popular recreation area in the hills of Buda. On the weekends you will find many people having a walk with their families or going for a run, especially in the summertime of course. The Reastaurant Normafa in Budapest is a bar and grill at the Normafa Hotel on top of Sváb-Hill in second district of Budapest.

The Normafa Grill in Budapest offers a large choice of good homemade lemonade and several dishes of the traditional Hungarian kitchen. The terrace is very nice with many tables and green around. The prices of Normafa Grill are above average but for the ambience offered and the friendly waiters who cover each extra wish it is fine. 

Adress:
Eötvös út 52-54
District 2, Budapest.
Reservations: +36 1 395 6505

Reastaurant Fatal in Budapest is a rustic restaurant in the center of Budapest. Even though it is in the heart of Budapests tourism, the Vaci utca, the restaurant is well visited by locals. The ambience is very good and exciting.
The menu in restaurant Fatal offers large wooden plates with a massive amount of meat and plenty of side dishes. The portions are extra large so many people have to their left overs home. The prices are a little bit above avaerage but for the mass of food you get it is a fair price.

The restaurant Fatal is in a hidden small alley crossing Vaci utca at house number 67 wich is between the market hall and Szabad Sajtó út.
If you are really hungry and need a lot of food restaurant Fatal in Budapest is the right place. 

Adress:
Vaci utca 67 (entrance in Pintér utca)
District 5, Budapest
Reservations: +36 1 266 2607

Stex Ház in Budapest is a large restaurant at Ferenc Körút, one of the biggest streets of Budapest. In Stex Ház you can eat good fish, salads, meat dishes or soups. It is a big mix of different nationalities offered. Mainly you get served Hungarian food. Stex Ház also offers a big range of entertainment like pool or darts. Usually Stex Ház is crowded so it is recommended to make a reservation. You find many locals in Stex Ház which says that it is a good and trustworthy restaurant. 

Adress:
József krt. 55-57
district 8, Budapest
Reservations: +36 1 318 5716

or visit the Stex Ház website.

Restaurant Rosenstein in Budapest is a place with Hungarian kitchen. On the menu you find traditional dishes like paprika chicken, goulash soup or goose liver. Rosenstein is a quit famous restaurant with high credits wich are not jusitfied. The dishes tast good no doubt but for the price they are not too good. The ambience in Rosenstein is good and the place itself very nice with adjoining rooms seperated from the main restaurant.

Although Rosenstein is not what you expect from a high class restaurant it is famous in Budapest tourist guides. 

Adress: 
Mosonyi utca 3
District 8, Budapest
Phone: +36 (1) 333-3492
or vistit the Rosenstein website

Restaurant Gundel Budapest is the most famous restaurant of Budapest. If Hungary is hosting a president or head of a nation the dinner is usually at Gundel. People like Vladimir Putin come to Gundel to have a dinner like in a fairy tail. Besides the fact that the big guns go to Gundel the restaurant is not better or worse than others.

The prices are high and the kitchen is very good but there is nothing special int he restaurant itself. But if you want to have a candle light dinner or a romantic evening I think Gundel in Budapest is the right place. 

Adress: 
Állatkerti út 2,District 14
Budapest
Phone: +36 (1) 468-4040

or vistit the Gundel website