Want to enjoy something different? Why dont you try walking around Acropolis, using even a real horse? There are so many ways to enjoy Athens historical routes.
From Kydathineon you can pass via Adrianou (upper part) to Thisseio directly, either via Areopagitou and make a circle around Hrodeion. After Thisseio you can walk towards Gazi and have the railway at your left hand.