Definition of independent for the purposes of this question: source is not owned by a for-profit corporation, is not financially backed by any billionaire (either directly or via foundation or nonprofit organization) and is not financed by any national government (even if run without oversight).
It can have any perceived bias or political leaning.
Edit: Just to add it has to be written in English.
Right, so aside from podcasts and YouTube & other video sources. Which brings us back to blogs, essentially, of which there are tens of thousands. Patreon & Substack are two popular platforms for persons and small teams publish on to (try to) make a living. I could list out my Patreon & Substack subscriptions, but as I said there are thousands.
But now that I think about it, you said “news sources.” But virtually none of these are “news” sources so much as “analysis” sources, or in a few cases “investigative reporting” sources. News reporting is very expensive, which is why for instance Reuters & Associated Press (AP) exist and other news outlets republish.