(moderate left, for reference)
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BBC. Mildly right-wing, very national POV.
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WSJ... sometimes. There's definitely points where they become utterly insufferable, but sometimes it can be helpful for an insight into the approach of a business-centric, right wing POV.
Really, as a moderate lefty, the collapse of the right-wing movement in the US into its current state has made it very difficult to find reasonable sources from the opposing side. Even "mainstream" right-wing sources take a lot of the batshit stuff at face value, or try and excuse off the more overtly insane elements.
Yep. And it's frustrating, because it also makes it harder to engage with people who are on the edge or might be drawn back to a more sane position, when you can't say "So I read this article, and I think I understand where you're coming from..." when there are so, so few sources which aren't totally divorced from reality.