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.
The BBC has been accused of being too far left. Often at the same time. In comparison to other English speaking news sources the BBC is quite neutral.
I’ll compromise: they’re about as politically neutral as the US democratic party is left-wing.