Top of your list should be the Acropolis Museum (make sure you get there early as the Acropolis closes before sunset) before heading up to the Acropolis. Unless you have a deep-rooted passion for the Acropolis, you can zoom through the museum in order to get a good impression of the significance of the monuments which stand atop the sacred hill. We cannot stress how essential a visit to the Acropolis is and we can't promise that you won't be tempted to shed a tear once in front of the Parthenon! From the top of the Acropolis you will also be able to see Dionysius' (the god of wine in Greek mythology) theatre as well as the Temple of Zeus (the god of all gods).
Before heading back down the hill make sure you stop off at the Agora, where Socrates was said to have carried out his numerous discourses. Next on your list should be the Plaka area, or the charming village that wraps around the Acropolis hillsides - get lost in its winding streets and make sure to stop by for a spot of lunch or dinner before heading off to the markets of Monastiraki (meaning 'small monastery' in English).