Featured are all matchmake servers. You can tell because when you click it, and click start, it says "Matchmaking". The game is all matchmaking by default.
You have to scroll down to Community Experiences. Every item highlighted there is a persistent community server. There are usually only a couple or few highlighted by EA at any time. You can click one of the highlighted ones, view which servers are available, join a server of your choice, view more by the same creator, etcetera.
Scroll up one from Community Experiences, and there is the option to search experiences. The server browser is full of crap, yes. I think I cover all of that pretty exhaustively in the thread I linked.
If you said that you don't like the BF6 server browser because it gives you too many options, I can get behind that. If you said that the grindy BF6 game mechanic created too many garbage and broken xp farm and afk servers which should now be deleted, I agree. But to pretend that the content from past games and abilitity to find it in BF6 doesn't exist, suggests that you never tried looking for it. The content you miss still exists, you are now just more reliant on filters to find it, because the default everything filter will give you more garbage than past games due to the incentive that created that garbage in BF6.
That being said, as stated, you need to apply the filter you want in order to see what you are looking for. It's the same as BF3 or BF4, just that there is more garbage if you don't apply a filter.
Apply the filter: Maps & Modes -> Breakthrough, Conquest, and Rush checkboxes. Boom. Almost zero garbage displayed. Maybe you'll see a bunch of dumb and misleading names created by people trying to trick people into joining their non-farm server, but mostly no actual farms or garbage. If people started using the browser, I am sure there would be a lot more quality servers with non-misleading names to choose from. And if EA would finally delete the broken farms (why not!!?!??!), you wouldn't see those empty broken servers either. If you applh the filter that hides empty servers, you won't see those broken empty farm servers either.
Or, as stated, just search through BattlefieldOfficial's content if you want the laziest and most sure-fire method. Find any server by BattlefieldOfficial (shouldn't be hard, since at least one is usually a highlighted community experience, or almost any search you do in the server browser will have at least one BattlefieldOfficial re-host listed), view that server's Experience Info, and then click View More by Creator. That's the motherload of verified-mode official servers that are easy to find.
People act like they have never used a server browser before, yet somehow played BF3 and BF4.