Apparently, not all of them are listed on their user pages, such as access to an "Admin" button and banning people. What is the "Admin" button, anyway?
Both editors and mods can access the 'Admin' section of the site. In this section you have all those posts that are in need of approval, and they have to sit down and approve/reject worthy posts. Admin also shows lists of recently flagged/ hidden posts.
Both editors and mods can 'kick' or automatically send you out of chat, on grounds of misbehaviour
Both mods and editors can hide/show posts
Both mods and editors can de-flag posts
Only mods can issue bans
Only mods can manually promote you to expert (they do so for every user that hits 6000 points)
Only mods can select best answer to any question
Only mods can silent edit (make edits to a post without a notification appearing for it)
Only mods can view your IP address
Only mods can view when you last logged in (to track activity)
Only mods can see special user lists, which includes users with special interests (eg.- other mods, editors, experts)
Aside from this, they also have the general editing powers experts have. That should be it, as far as I know, but feel free to call me out on any thing here.
How to change your username
How to add a user avatar
Why was my post hidden?
The points system
Flags vs Downvotes
PokemonDb Showdown server
Report minor site errors
Name Origins corrections
Location guide corrections