[eu]

I’d love to see a setup where I could keep the emails on a Linux box in the house (the messages are fetched regularly from the “real” email server), you know what I mean?

Sending would probably be easier ( use a real smtp server)…

[nulbyte]

I use mbsync (formerly isync) to synchronize multiple external mailboxes to a local Maildir store. I use it with mu4e, but it'd work fine with mutt or any other client that supports Maildir.

https://isync.sourceforge.io/

[rjzzleep]

I second this. I used offlineimap for a long time, but isync(mbsync) is soooooo much faster at syncing mail.

[superluserdo]

I pair this with imapnotify (keeps a constant connection to each of the IMAP servers for the email addresses I have) that calls mbsync the moment I get a new email. It was a bit annoying to set up at the time but now my (neo)mutt client updates pretty much instantly with any new email.

[mixedmath]

getmail, fetchmail, and offlineimap all work well for this. I currently use getmail and offlineimap (on different boxes) to fetch emails over IMAP, and configure mutt to use my usual smtp to send.

[Taywee]

Sounds like something you'd use getmail, fetchmail, or another mail retrieval agent for: https://en.wikipedia.org/wiki/Getmail

[TimWolla]

Neither a mutt, nor an offlineimap user, but I believe those two are often used in combination: http://www.offlineimap.org/

[rvense]

I use offlineimap with bower[0], it works well.

[0] https://github.com/wangp/bower