Income Tax: Neither Alaska or Anchorage have any form of income tax. Meaning when you file your yearly tax return, you just have to file your Federal tax.
Sales Tax: Some cities and towns around Alaska have some sales tax, Anchorage is not one of them. This means that the price you see in the store, is what you pay.
Property Tax: The Municipality of Anchorage's largest tax revenue comes from property tax. For the current tax rate and more information visit the municipal treasury webpage.