Val Thorens
The most famous ski resort in India is in a small town called Gulmarg, in the state of Jammu and Kashmir
It is the largest indoor ski resort but it is not nearly as big as most outdoor ski resorts.
The name of the most famous ski resort in Chile is called Ski Portillo. However, there are also other popular ski resorts in Chile. For example, Valle Nevado and El Colorado are also quite famous.
Val Thorens is Europe's highest resort, also in the Three Valleys, the largest ski area in the world.
Chamonix, Les 3 Vallées.
Bariloche has a world class ski resort.
No, Sun Valley ski resort is located in Idaho.
Kitzbuhel, Austria. Kitzbuhel is considered the "Pearl of the Alps" and is the most famous holiday resort in the Austrian Tyrol.
La Tania is part of Les 3 Vallées which is, counted by the numbers of visitors, the most popular ski resort in the world.
Probably the most famous ski resort in Germany is Garmisch Partenkirchen.
The largest ski resort in France and in the world is Les 3 Vallées with 600 km of piste. For more information look at the question "What is the world's largest ski resort?"
I don't know if it is the biggest but most famous for it's spas is Badgastein which have had spas for hundreds of years.