Here is the list of all of my competing nations at the 2010 Winter Olympics: (in order of debut appearances)
1924: Austria, Belgium, Canada, Finland, France, Great Britain, Hungary, Italy, Latvia, Norway, Poland, Switzerland, Sweden, USA
1928: Argentina, Estonia, Germany, Japan, Lithuania, Luxembourg, Mexico, Netherlands, Romania
1936: Australia, Bulgaria, Greece, Liechtenstein, Spain, Turkey
1948: Chile, Denmark, Iceland, Korea, Lebanon
1952: New Zealand, Portugal
1956: Bolivia, IR Iran
1960: South Africa
1964: India, Mongolia, DPR Korea
1968: Morocco
1972: Philippines
1976: Andorr