351 axe weapon items
The Forever catalog holds 351 axe weapon items, topping out at item level 90 with 90 Epic Warrior Axe, 90 Green Warrior Axe, Dark Edge of Insanity. Every weapon in the Forever catalog, from the vanilla dungeon and raid drops to the new Forever additions, sorted by item level with daggers, swords, staves, polearms, bows, guns, and wands as filters.
By quality: 124 uncommon, 90 rare, 79 epic, 40 common, 18 poor. Item levels run from 1 to 90, for characters from level 1 to 60. 63 bind when picked up and never reach the auction house; 288 can be listed.
The highest item levels here: 90 Epic Warrior Axe (90), 90 Green Warrior Axe (90), Dark Edge of Insanity (84), Dark Edge of Insanity (84).
One profession makes 26 of them: Blacksmithing (26). The rest drop, are sold by vendors, or come from quests.
Source: World of Warcraft: Forever game data and Blizzard's Game Data API. Updated with each game build.