Many thousands!
Here you will find a list of over more than 1000 ski resorts in Europe:
http://en.wikipedia.org/wiki/List_of_ski_areas_and_resorts_in_Europe
However, this is only a small fraction of all the ski resorts. For example, of Sweden's 250 resorts are only 35 in the list.
Here you will find a list of some of the major ski resorts in France: http://en.wikipedia.org/wiki/Category:Ski_areas_and_resorts_in_France
www.skiaustria.com has a lot
There are a plethora of ski resorts in Colorado. A top ten list according to AOL includes Aspen, Beaver Creek, and Breckenridge among the top three spots. Telluride made number three on Forbes's list of the top ski resorts in the United States.
No, the north American resorts are all small compared to those in Europe. The largest in Europe is more than 10 times the largest in north America. See also: What are the 50 largest ski resorts?
There are hundreds of ski resorts in the Alps and they are all open to the public if you pay for a ski pass (pay for the lifts)
Well, at least for Europe I've never heard about any ski resort not allowing snowboarding.
Search in Directory and look for golf courses.
Yes there are ski resorts in Turkey, especially in the city of Bursa.
Bulgaria Ski is a listing of all of the various Ski Resorts in Bulgaria, which is a popular destination for all Ski related activities. There are resorts available for all price ranges.
Michigan by far has the most ski resorts. While most would say Colorado, Michigan in fact has an astounding 39 ski resorts opposed to Colorado having a meek 23 ski resorts.
"While Club Med has many ski resort locations throughout Europe, they also boast great skiing in unsuspected locations such as Japan."
Charles Leocha has written: 'Ski America and Canada' -- subject(s): Skis and skiing, Directories, Guidebooks, Ski resorts 'Myths, Legends and Tales of Europe for Travellers' 'Ski Snowboard Europe' 'Ski Snowboard America & Canada (Ski Snowboard America and Canada)'