One of the best ways I have found to discover Athens is on a sightseeing bus. I recently went on a hop on hop off bus and got to see more of the city than ever before. The bus tour lasts around 90 minutes if you stay on the bus, but you are welcome to get off and get on any other of the company’s buses throughout the day. The bus visits 15 sights and is only $30 if you purchase your tickets online and $34 on sight. The buses run every half hour from 9:00 am to 5:00 pm daily.
-Melina Mercouri Statue
-Acropolis & Parthenon
-Temple of Zeus
-Benaki Museum/Museum of Cycladic Art
-Tomb of the Unknown Soldier
-National Archaeological Museum
You are welcome to visit all of the sights or pick those that interest you most.