128 container items
Bags and profession bags, by slot count.
By quality: 85 common, 22 uncommon, 15 rare, 6 epic. Item levels run from 1 to 65, for characters from level 1 to 60. 46 bind when picked up and never reach the auction house; 82 can be listed.
The highest item levels here: Big Bag of Enchantment (65), Felblood Soul Bag (65), Panther Hide Sack (65), Satchel of Cenarius (65).
Professions make 35 of them: Tailoring (33), Leatherworking (2). 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.