Big vote from me for the Dolomites in Italy. Has been our default trip for the last twenty years, staying in San Cassiano in the Alta Badia area and I still ski new stuff every time I go. Prices reasonable, food outstanding, ski terrain for everyone, scenery utterly stunning (you'll want to come back in the summer) and 12 resorts / 1200km of piste on one lift pass. The area is so big that I've skied all day in one direction, stayed overnight and then skied all the way back the next day.

Have tended to fly with BA to VCE (smooth & not super busy, 2.5-3 hour drive), sometimes INN (chaos, 2 hour drive, weekend flights only) and very occasionally MUC (German efficiency, 4 hour drive) if we are doing some Austrian resorts too. Plenty of airport transfer options but hiring a car that can fit skis is great if you want to base yourself in a different resort for the day.