HILDA is a chic downtown restaurant on the increasingly fashionable Nádor Street, an area that has come to life as a growing number of tourists and international students from the nearby Central European University pass through. HILDA has a perfect curb appeal and Instagrammable interior: An oversized stained glass mosaic covers one of the walls in its entirety, and the bar is studded with dark blue, glazed Zsolnay ceramic tiles, the same brand that decorates the lobby of the Four Seasons around the corner from here.

HILDA serves up many traditional Hungarian dishes like a goulash soup (€5) and chicken paprikash (€13). Chef Mátyás Igaz, who honed his skills in France, doesn't so much update these classics as shows off their best selves using carefully-sourced ingredients and modern techniques. Also look out for his seasonal specialties which might include a tender mangalica pork loin with celeriac cream (€13). On weekends, there are a range of on-trend breakfast dishes of which you shouldn't miss the creamy croque madame (€8). Breakfast is served until noon on Saturdays, and 3 p.m. on Sundays.

With decorative dishes, top-of-the-line ingredients—HILDA uses many of the same suppliers as Budapest's Michelin-starred restaurants—and a snug interior, HILDA feels like a Bib Gourmand restaurant. Before you leave, take a glimpse at the limestone tiger sitting perched atop the main entrance—those vigilant eyes have been guarding the building since 1840.