Au Café
RestaurantBratislava
Food
The best-known place to eat in Slovakia is Au Café, Bratislava. The travel guide lists 40 places to eat and drink in Bratislava and Košice. Local dishes to try: Halušky, Liptauer, Parenica, Bryndza, and Trdelník.
Ordered by how many Wikipedia language editions describe each place. That measures how famous a place is, not how good the food is.
Bratislava
Listed in the Wikivoyage travel guide. Opening hours and prices change, so check before you go.
Obchodná 530/52
Jozefská 2991/2
Obchodná 62
Námestie SNP 8, 811 02
Laurinská 141
Námestie SNP č.1
K zlatému rohu 36, 841 10 Devín
Obchodná 518/30
Karadžičova 4105/33, 811 08
Rožňavská 1/A, 831 04 Nové Mesto
Špitálska 2214/20, 811 08
Michalská 7, 811 03 Staré Mesto
Source and corrections: Wikivoyage guide to Bratislava · CC BY-SA 4.0
Zvonárska 133/4
Vratna 58
Československej armády 18
Hlavna 86
Hrnciarska 23
Kováčska 51
Hlavná 1
Hlavna 31
Čajkovského 4
Zbrojničná 2
Mäsiarska 42
Vrátna 4
Source and corrections: Wikivoyage guide to Košice · CC BY-SA 4.0
Foods and drinks that come from Slovakia, the most widely known first.
thick, soft noodles or dumplings in various Central and Eastern European cuisines
a dish of Slovak cuisine prepared from eggs, flour, salt, boiled and grated potatoes

liqueur based on tea and herbs produced by the Karloff company in Kežmark in Slovakia

type of white brined cheese produced in Czech Republic and Slovakia

Au Café, Bratislava is the most widely documented place to eat in Slovakia: 6 Wikipedia language editions describe it.
Slovakia is known for Halušky, Liptauer, Parenica, Bryndza, and Trdelník.
The travel guide to Bratislava lists KGB Krčma Gurmánov Bratislavy, Divný Janko Reštaurácia, Slovak Pub, Flagship, and Bistro SOHO.
Sources: Wikidata (CC0), Wikivoyage (CC BY-SA 4.0), photos from Wikimedia Commons.