Snowolf pretty much covered it all except Alpineglow at Arctic Valley. It a ski area that is run by the Anchorage ski club on U.S military property above Ft.Richardson in the Chugach range. Its a great place to ride they have 3 chairs and a poma. Its pretty hard to beat on fresh snow and bluebird conditions.
Alyeska is sweet and is the only "resort" in Ak. The north face is sick like wolfy said, it has the longest vertical drop double black in N. America.
Anchorage would be the place to stay to access most of the terrain, backcountry or lift serviced areas. But Alyeska is full service, and no need for car once you get there if thats what you are looking for.