[malcook]

https://bazqux.com/ It doesn't check all your boxes but it checks all mine. I've used elfeed, google reader, feedly, miniflux, and this is the best! Not free but I'm happy to pay $30/year for excellence. Desktop and mobile app both work great. Has all the right key shortcuts. Fast. Tagging and stars (but I never use em).

Some excerpts from the FAQ:

How long do you keep ar­ti­cles un­read? Un­read ar­ti­cles are kept for­ever. Al­though there is a limit of 500 to­tal (both read and un­read) ar­ti­cles per feed. How often feeds are up­dated? Re­fresh rate de­pends on the time of the last ar­ti­cle in feed: few hours ago—each 15–45 min­utes, less than a week—each 1–2 hours, less than a month—each 2–3 hours and 3+ hours for oth­ers. Feeds that sup­port WebSub are up­dated in re­al­time. Do you sup­port pass­word pro­tected feeds? Yes, feeds with HTTP ba­sic ac­cess au­then­ti­ca­tion are sup­ported. How many feeds I can sub­scribe to? You can sub­scribe or im­port up to 3000 feeds.

[Maleph]

I totally agree with you