With stunning views onto both the Castle Hill and the nearby Danube river, the location of Felix is hard to beat. The restaurant, which serves breakfast, lunch, and dinner, is located inside a refurbished, landmark-protected building from the 19th century designed by Miklós Ybl, who was also the head architect of the Budapest Opera House. In terms of prices and ambiance, Felix is a notch above "trendy places" but it's also more casual and less expensive than stiff-lipped fine dining establishments.
The food here pays homage to Hungarian classics while incorporating small twists and turns. For example, the foie gras (€15) arrives sitting in a Japanese ponzu sauce. Even local Hungarians will enjoy the goulash soup (€6) and the expertly prepared chicken paprikash (€15). The best way to end your meal here is with the aranygaluska—sweet dumplings coated in ground walnut and smothered in creamy vanilla custard (€8). Don't miss them (an order is meant for up to three people). The wine program, overseen by Máté Horváth, one of Hungary's top sommeliers, features many celebrated Hungarian winemakers with a whole page dedicated to Tokaj's dry wines.
For breakfast, which is served every day of the week, go with the avocado toast (€8), a dish often relegated to a check-the-box status these days. At Felix, a lightly toasted, cereal-crusted dark sourdough arrives blanketed in avocado cream, pomegranate seeds, and a perfectly poached egg. Also good is the acai bowl (€6). On the other hand, you're better off skipping the unremarkable bagel with lox and the eggs Benedict.