The ancient city
The Acropolis is the obvious starting point, and the Acropolis Museum below it holds what came off the rock.
But the ancient city spreads well beyond it. The Ancient Agora, at the foot of the north slope, was the marketplace and the centre of public life, and it contains the Temple of Hephaestus — the most complete Doric temple anywhere in Greece, because it was used as a church for centuries and never lost its roof.
Next to it, the Roman Agora holds the Tower of the Winds, an octagonal marble tower that worked as a sundial, water clock and weather vane in the first century BC.
Kerameikos, ten minutes west, was the city's cemetery and the site of its main gate. Grave monuments still stand where they were set up.
The Temple of Olympian Zeus took about seven hundred years to finish. Fifteen of its columns are still standing, and beside them is Hadrian's Arch.
A paved walking route links most of these, running around the base of the Acropolis from Thissio to the Olympieion. Almost no cars, and it takes about half an hour end to end.
The museums
The National Archaeological Museum is the largest collection of Greek antiquities anywhere. It holds the gold mask from Mycenae, the bronze Zeus or Poseidon from Artemision, the Antikythera Mechanism, and the frescoes from Santorini.
Three others are worth planning around. The Museum of Cycladic Art holds the marble figures of the third millennium BC that influenced twentieth-century sculpture. The Benaki Museum covers Greek culture from prehistory to the modern state, across several buildings. The Byzantine and Christian Museum covers the thousand years in between.
Every summer the Athens Epidaurus Festival puts theatre and music into the Odeon of Herodes Atticus, the Roman theatre on the south slope of the Acropolis.
The oldest quarter
Plaka and Monastiraki, under the north slope of the Acropolis, are the oldest continuously inhabited part of the city. On the northeast side of the Acropolis rock, at the edge of Plaka, is Anafiotika — a cluster of small white houses built in the middle of the nineteenth century by stonemasons and carpenters from the Cyclades, most of them from the island of Anafi, who had come to work on the rebuilding of the city and on King Otto's palace. They built in the style of their own islands, and the quarter still looks like a Cycladic village.