Alaska is one of the best places to hunt even for non-residents. However, sometimes nonresidents are limited based on the availability of game. Confirm while purchasing your license.
Deer/Goat
General: August 1 to December 31.
In most zones, you are only allowed to hunt bucks until September 14th. From September 15th to the end of the season you can hunt any deer.
Elk
General: August 1 to December 31
Turkey
There is no closed season.
Small Game
Quail: no closed season
Pheasant: no closed season
Squirrel: no closed season
More information on state website.