The Dungeon Master's Guide provides a series of Magic Item Tables lettered A through I (pp. 144 to 149), organized for random treasure selection.
Xanathar's Guide to Everything introduces a distinction between minor magic items and major magic items as a broad categorization (p. 135) in addition to the common, uncommon, rare, very rare, and legendary rarities introduced in the DMG. For example, a potion of healing is a minor common item while a weapon +1 is a major uncommon item. (Minor items are usually consumable, while major items are usually permanent equipment, although there are exceptions.)
It is explicitly stated in Xanathar's that even though the terms "minor" and "major" are not used in the DMG the distinction was conceptually there all along because tables A through E include only minor items and tables I through F include only major items.
In addition to the magic items listed in the DMG (pp. 150 to 214), Xanathar's includes some minor common items (pp. 136 to 140). It then provides a series of new well-organized Magic Item Tables that incorporate all the magic items from the DMG and Xanathar's itself, organized by minor/major, then by rarity, and then alphabetized for ease of lookup. For example, there is a table of minor rare items and a table of major legendary items.
Xanathar's also includes guidance and options for running Shared Campaigns (pp. 172 to 174), including rules to allow players to buy magic items from tables A through I. Frustratingly, those are the randomization tables that don't include any of the minor common items in Xanathar's and aren't easy to use for lookups! There's no indication of how to use the minor/major lookup tables in Xanathar's itself instead of the A through I randomization tables from the DMG, which just compounds the problem.
It's clear that tables A through E correspond to minor items and F through I to major items, but I'm not sure how to deal with the rarities within those tables. At a glance I see instances in a few of the lettered tables of items of disparate rarities. For example, table E includes both very rare and legendary spell scrolls. However, these might just be outliers.
So... what rarity should be assigned to each lettered table? My goal is to do so in a fashion that is significantly precise even if it isn't perfect, so that my players don't have to scan through tables A through I to find their items.