These are in an extreme minority, although this may vary from discipline to discipline. In my area you can count fully open access journals on one hand and they play no notable role yet. All top journals are closed access with expensive "open access" publication fees (ca. 3,000 USD per article). Most of them are Springer and Oxford Journals, others are Elsevier.
Can I guess, your area is experimental science/engineering? I notice that in the more theoretical fields (theoretical physics,math,CS,stats) the open access channels are on par with the paywalled ones. Curious as to why. Perhaps its more expensive to replicate results, perhaps the fees are nothing compared to what you pay for the labour and equipment..
No, it's philosophy. I believe theoretical physics and math are special, as you recognize, because they need a lot of additional vetting. My work is mostly in formal philosophy, which does involve a bit of math, and I'm constantly worried the reviewers might not spot a mistake and send it to colleagues for additional checking. This must be a hundred times more pressing in math and physics, so they developed open archives. As for CS, the reason for more open access archives may be a bit different. My personal impression from reading many CS papers is that 90% of publications are garbage whose only purpose is to satisfy some publication requirements. There is also a lot of repetition by authors. That's in my view understandable since many funding authorities also expect fancy prototype systems and concrete implementations, and computer scientists have only 7 days a week to achieve all this. So in CS hurdles for publication are kept low by having a lot of proceedings and open access journals and archives.
Physics PhD here, I would extend your comment that 90% of CS papers are garbage to include engineering and physics as well. The vast majority of those are what people refer to as "status updates" where long term projects provide minor updates that don't really contribute anything to the general knowledge but exist solely to advertise their work and provide a bullet point in their quarterly report to the funding agency. This is also added to the fact that most PhD programs require a candidate to publish at least 3 articles in peer-reviewed journals, where some programs even discriminate based on the impact factor, further entrenching the paid-for journals as open access are not ranked as highly. I personally really like the IEEE journals as they are cheap ("free" with IEEE membership to a given society) and reasonable high quality (exceptions as always of course). Years ago I looked at trying to get my department a subscription to the major Elsevier journal in our industry and was quoted almost $6,000/yr, mostly for historic papers published back in the 50's, 60's and 70's where authors were long since dead and the utility mostly on filling in gaps in modern theory. While neither bandwidth nor website design infrastructure are free, high access costs are unnecessary and just equate to greed IMHO.
Ah yes! Would you say that in the field of philosophy, practices around publication and exposition are in general more aligned with the humanities than the sciences? Hadn’t even thought in that direction yet, thank you for the heads up!
I think it proves my point. Would you rather see your paper featured in Nature or on any open access journal of your choice? Would you trust more on a random article from Nature or an article from any open access journal?
I would like to have a paper featured in Nature but published in a volunteer-run non-profit open access journal. The papers published in prestigious journals are often not very useful, because they must be written for a rather general audience. When I'm building upon someone else's work, the information I'm interested in tends to be buried in the supplements, because it's too obscure for the audience of the journal.