Visegrad is a small town with a limited but serviceable restaurant scene. The eating options cluster around the riverfront and the main road through town, and the quality is uneven — a handful of decent places sit alongside tourist traps aimed at the day-tripper coaches. The good news is that Hungarian food at its straightforward best — goulash, pörkölt, fried fish from the Danube — is hard to ruin, and portions are generous.
Several riverside restaurants take advantage of the setting with terraces overlooking the Danube. In summer these fill up fast at lunchtime; arrive early or expect to wait. Catfish and carp from the Danube appear on most menus alongside the standard Hungarian stews and grilled meats. The wine list at most places is short but honest: look for wines from the nearby Etyek or Eger regions.
For self-catering, there is a small grocery in the lower town. If you are combining Visegrad with Szentendre, note that Szentendre has a much wider range of restaurants and is worth saving appetite for.