The Acropolis Museum in Athens is well worth a visit. The architecture is unique and the exhibitions are very nicely done.
Mykonos and its Little Venice is an area on the waterfront with bars and restaurants where it is nice to relax and enjoy a few cocktails.
Here are the available modes of transport from Athens to Mykonos.
Athens To Mykonos By Bus
The distance between Athens to Mykonos is 184 km. Take the KTEL bus transport service that hails from Athens to Rafina Harbor. From Rafina take the ferry ride via Golden Star Ferries that is bound to Mykonos harbor. The total travel time is six hours and 30 minutes. The total fare costs US$30. To know more, visit: http://www.ktelattikis.gr/routes.php
If driving is your travel option; the travel time is four hours and 30 minutes.
Athens To Mykonos By Ferry
There is no railway transport here and the available and most accessible mode is via ferry ride. Take the Sea Jets (Line Champion Jet 1) that hails from the harbor of Piraeus and bound to the city of Mykonos. The travel time is two hours and 45 minutes at a cost of US$120. To get the ferry timetable, check here: http://www.seajets.gr/
Athens To Mykonos By Plane
There are two airlines that offer daily and non-stop route from Athens to Mykonos. The flight travel time is 40 minutes and the one way air plane ticket price ranges from US$66 to US$131.