In Alaska, your ESA housing rights rest first on state law. The Alaska Human Rights Law (AS 18.80.240) makes it unlawful for a landlord to refuse to rent, or to discriminate in the terms and conditions of a rental, because of a physical or mental disability. This state protection is enforced by the Alaska State Commission for Human Rights and remains fully active. The federal Fair Housing Act (42 U.S.C. § 3604) provides the same obligation, and that statute has not changed.
Landlords in Anchorage who refuse a valid ESA letter or continue charging pet fees may be in violation of AS 18.80.240 and federal law. Complaints can be filed with the Alaska State Commission for Human Rights.