Any number of Kinderhotels in Austria would fit the bill - for example Ellmauhof in Hinterglemm - or really any village-based resort in Austria, Italy or France.
In no particular order:
Saalbach-Hinterglemm, Zell am See, Maria Alm, Leogang, Flachau, Wagrain, Westendorf, St Anton, Lech, Zurs, St. Johann in Tirol ... and many others in Austria.
La Rosiere, Courchevel, Val d'Isère, Val Thorens, Tignes, Avoriaz ... and others in France.
La Thuile, Kronplatz, Livigno ... in Italy.
If you've not skied the Alps before, look at what the main tour operators have to offer in the way of packages. Even if you don't decide to book with them, by looking at Crystal, Inghams, Nielsen, Heidi (and others) you'll hopefully get some inspiration. There is a skiing forum here on MN and an excellent forum over on Snowheads.com