For some fields the for-profit problem never happened at all. For example, in some branches of linguistics, history and archaeology the main journals have always been published by the same non-profit learned societies for decades (since the 19th century, sometimes). Prices for the hardcopy were always reasonable, and with the digital era, these journals became open access.

In other branches of those disciplines, I have seen that recently some big-name editors have founded new open-access journals with the express aim of gradually taking prestige away from for-profit journals. See here [0] (PDF).

[0] https://scholarsarchive.library.albany.edu/cgi/viewcontent.c...