By road
Motorbikes and mopeds are popular alternatives to cars. Mopeds, specially adapted to be very loud are frequently used by local youths to scare tourists and can go to many places that cars cannot go - for example the twisted narrow streets of Skopelos town. An additional advantage is that they are inexpensive to rent - 10 to 15 Euros a day is the usual price.
If you start a day-trip with a moped, make you sure you do so on a full tank, as gas stations are sometimes hard to find. An extra stop at a gas station can save a lot of nerves. When renting a moped, check if the profile of the tyres is ok and if the brakes work properly. If it is the last vehicle in store, be suspicious - it could be the one that needs a repair badly. Greek law requires helmets while on a motorbike or moped. The fine for not wearing a helmet is 350 Euros.
By taxi
There's a taxi stand on the Skopelos town waterfront near the bus station. Taxis have fixed rates to various destinations. Note that despite the fact that the first daily boats routinely leave Skopelos port around 7:00 am, you may have trouble booking a taxi to take you and your bags to the port then: most Skopelos taxi drivers seem to consider snoring the morning away more important than getting up for an early fare.