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.
NPR - National Public Radio. It's the closest you're gonna get for unbiased independent news. It leans left but seriously, you're not gonna find better.