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.
Private Eye
Not everyone’s cup of tea. Actually becoming aware of the amount of corruption and injustice in the UK can be accutely depressing.
Their online offering is a tiny fraction of what is covered in the hardcopy.