How about this chart? Could go with Reuters instead of the WSJ.
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Yeah, good that it distinguishes 'reliability' from 'political agenda' but I just think the judgements about the latter are intrinsically subjective so it's a slightly futile endevour.
Plus, again, there isn't just one single simple 'spectrum' from left to right - it's more that different sources cater to the self-interests of different demographic groups in society.
A lot of "centrist" media is not really 'in the middle' of some alleged spectrum, it's just that it is concerned with the interests of one particular group - usually affluent, educated, professional-class white people.
The Daily Mail, on the other hand, is well known as being concerned with lower-middle-class 'middle England', which, while it will very often translate as 'the right', isn't 100% synonymous with it - it depends on the issue and the wider circumstances. And The Express, on the other hand, while also 'right wing', clearly caters largely to pensioners without much formal education. The focus of that paper on the concerns of 'old people' is sometimes comically predictable.