Sunsets in Mykonos are particularly nice.. and one good place to go admire it is at the foot of the mafouns windmills... Look out into the sea towards the old harbour, and wait... you'll be amazed. You will not be have an intimate experience, though: it's full of people there, wanting to have their picture taken... this woman, whoever she was, just walked into my picture...
Skandinavian Bar is a classical meeting point for the northern european people, but everyone is welcome in there, music, drinks (a lot), unprejudiced young people dancing on the bar and tables. Sometimes stepping on the floor.
Located at the port the Music Cafe as his name suggest us, belongs to a guy that loves the music, and he REALLY do.
This place is not only appropiated for drinks and music by night, even so in the morning or the afternoon you can eat some dishes listening nice music and enjoying the amazing view of the port.
Try the Little Venice area for cocktails in the early evening. The other clubs/bars are still quiet at that time (we're talking around 9pm).
This is especially nice at sunset!