Hi all,
I'm looking for the quickest way from Goreme to Patara or Oludeniz or Fethiye. Preferably using buses AND trains. Any suggestions?


I agree - the quickest way is by bus. Buses leave Goreme around 8 pm each night for Fethiye and take about 10 plus hours. Trying to factor in a train would probably add at least another 6-8 hours, if its even do-able.
Your other option would be to get a bus from Goreme to Kayseri, then fly from Kayseri to Antalya, then bus to Fethiye. With all those transfers, etc., I still think it would probably be faster and easier to just take a direct bus route.

everyday 20.00 o clock in the evening there is a bus from Goreme to Fethiye costs 50 turkish lira for each

I was there last summer..
Before going to Patara,I read all its history.
Patara is one of the touristic places in Turkey.
I also recommend you to see Fethiye.
If you're really interested in Patara,check this page..
http://www.trifter.com/Asia-&-Pacific/Turkey/Travel-to-Patara.119159