This is a pet peeve of mine. I’m a voracious consumer of news media, and I have not yet found an ideal source for all news that’s both sufficiently unbiased in the news reporting side AND keeps the news stories free of subjective analysis.
So far, the closest I’ve found is The New York Times (which is not, of course, Euro-focused). Most of the news stories I read there are objective, well-reported, and free from subjectivity. (Not all, of course, because not all reporters are good at their job. But most.) Also note I take great pains never to read the NY Times’s Op-Ed page, which is full of vitriol.
I tried reading The Financial Times for a year, but I found the lack of depth in the every day news reporting to be frustrating. The feature articles were excellent, but I want a source for every day news more so than features (for which great magazines exist).
I’d like to try The Times of London one day, but I haven’t done so yet.
So good luck on your search, and if you find something you like, please don’t forget to update this question!