How can a state not consider a fish to be an animal? What else could they be?
Well, this is how Alaska classifies fish:
A. FISH AND GAME CODE
Alaska’s Fish and Game Code establishes the Board of Game (BOG) and the Department of Fish and Game (DFG) and charges those two agencies with regulating “game” animals throughout the state. AK ST § 16.05.940
defines “game” as any species of mammal found or introduced in the state, which includes all species of captive apes. Section 16.05.920
of the Fish and Game Code generally makes it illegal to buy, sell, possess, or transport any game animal except as authorized under BOG regulations.
Then you get to the part that defines "animals" for cruely laws:
C. STATE GENERAL ANTI-CRUELTY LAWS
The state’s anti-cruelty laws,
which prohibit the neglect or mistreatment of animals,
(26) For purposes of the anti-cruelty laws, “animal” means a vertebrate living creature not a human being, but does not include fish. Alaska Stat. § 11.81.900; Alaska Stat. § 03.55.190
So, it's not that fish wouldn't count as animals according to the definition of an animal. The law makers add, "...but does not include fish" part to exclude fish even when fish are animals in every other part of their laws. So fish are animals until someone hurts them on purpose. It's very annoying.