Trois Vallees, L'Espace Killy (Val d'Isere, Tignes), Alpe d'Huez (with optional day trips to Les Deux Alpes, Serre Che, included in the ticket IMO). Paradiski would fit too but the resorts themselves are really ugly.
Avoid Chamonix-not the right spot.
zermatt, Saas Fee, Verbier, Davos/Klosters, Flims/Laax, St. Moritz, Samnaun (Access to the big Ischgl ski area on the Austrian side).
St. Moritz is an incredibly beautiful spot all around BUT way outpriced.
St. Anton (lower slopes might be iffy snowwise), Ischgl/Paznaun Valley, Soelden (Oetztal arena)
For an overall well-balanced and family orientated ski vacation I would favor the Suiss resorts, especially Verbier or Zermatt. Italian resorts can be nice too but usually are snowwise not as reliable. Stay at or above 5000 ft resort level and you should be golden.
Of course there are still tons of other options but the above are the highlights for sure if you are novice to the Alps. It also depends on what you are willing to spend but then you could stay cheaper just outside the big resorts and commute by shuttle bus or car (except for Zermatt which is auto-free).
In case you like to get around for some sightseeing o.e. then renting a car is a must. Hope that helps, have fun.