The Szent Anna kápolna, built around 1485, is a small late-Gothic chapel tucked behind the cathedral. It is the only late-medieval building in the city centre to have survived the Ottoman occupation and the great fires of the 18th century, and as such is the oldest standing structure here apart from the ruin garden.
The interior is plain — a single vaulted nave, a few baroque additions, fragments of medieval frescoes uncovered during restoration. It is normally locked, but visible from the surrounding streets and well worth a quick detour.