These cost nothing and carry a full day each. Build around them and the paid tickets become optional extras instead of a budget drain.
Ancient Agora and Temple of Hephaestus
FreeTipCovered by the combined Acropolis ticket, so use that rather than paying separately, and come in the morning before the Acropolis crowds spill down here. The Temple of Hephaestus at the top is the best-preserved ancient Greek temple anywhere, far more intact than the Parthenon, and almost never crowded. Do not skip the reconstructed Stoa of Attalos, whose shaded colonnade holds a small, cool museum of everyday Athenian finds.
Monastiraki flea market and square
FreeTipThe Sunday morning flea market on Avissynias Square is the real one, with genuine junk and antiques, while the daily Ifestou stalls skew to tourist souvenirs. Watch your bag and wallet in the crush, this is the most pickpocket-prone spot in the city. Climb to any rooftop bar off the square at dusk for the head-on Acropolis view over the terracotta roofs.
Temple of Olympian Zeus
FreeTipIncluded in the combined Acropolis ticket, so there is no reason to buy a separate entry, and 15-20 minutes is plenty for the surviving giant columns. Pair it with Hadrian's Arch right beside it, which is free to see from the street, and the National Garden a short walk north for shade. Late afternoon light turns the marble gold and the crowds are thin here at any hour.
TipThe highest point in the city and the top sunset spot, with the Acropolis, the sprawl, and the sea laid out below from the chapel terrace. Ride the funicular up from Kolonaki to save the steep climb, then walk down through the pine woods afterward if your knees allow. Arrive 30 minutes before sunset to claim a spot at the cafe railing, and bring a layer, it is breezy up top.
TipThe all-marble stadium that hosted the first modern Olympics in 1896, and the entry ticket includes an audio guide and the chance to run a lap or stand on the winners' podium. You can get the full effect free from the street railing if you would rather not pay, as the whole horseshoe is visible from outside. Come early or late to have the track to yourself for photos, and pair it with the neighboring National Garden.
Roman Agora and Tower of the Winds
FreeTipCovered by the combined Acropolis ticket, and small enough to see in 20 minutes, so fold it into a Plaka wander rather than making a special trip. The octagonal Tower of the Winds is the star, an ancient marble weather station and water clock with carved wind gods on each face, and one of the best-preserved structures of its age. It sits right on the edge of Plaka, so slot it between the ancient Agora and lunch.
TipThe pine-covered hill facing the Acropolis from the southwest, free and open all hours, with the single best straight-on view of the rock and the Parthenon. Walk up the marble path from the Dionysiou Areopagitou promenade at sunset, when the Acropolis glows and the crowds are on the rock itself, not here. Wear proper shoes, the ancient paths are polished slippery smooth, and carry water as there is no cafe on top.