The next most significant village after Hora on Mykonos is Ano Mera. Don't blink, you'll miss it! It lies about 9 kms from Hora and is home to the lovely Monastery and Church of Panagia Tourliani. Ano Mera also sports an interesting lttle town square with an array of restaurants and other assorted eateries. We were there on a Friday morning and there seemed little sign of life other than at the Monastery. Do drop in to see the church it is quite lovely.
Ano Mera is often described as a peaceful little town and from what we saw, indeed it is.
Besides Hora, there really is only one other town on the island, Ano Mera. Ano Mera is quiter and less touristy. While you are here , visit the Monastery of Panagia Tourliani, a traditional Greek Orthodox church which has a beautiful iconostas . Please dress appropriately. Admission is free, but it is nice to pay a euro or so and light a candle.