For example, I can give novice programmers a reasonably unbiased overview of the strengths and weaknesses of various programming languages, even ones I don't favor myself. I can also talk happily about the flaws in the languages I personally prefer.
I see people do this pretty often with things like cities they've lived in, restaurants, books, and movies. Anybody who works at it a bit can do it. You just have to be able to distance yourself a bit from your preferences, to learn how to make an intellectual case that cuts against your biases.
So yeah, I've read The Economist for something like 30 years, and I think they do a good job of having a strong viewpoint without skewing their coverage much because of it. In particular, I think they keep their opinion-y activities well contained in the leaders and regular columns. The news still has a fair bit of viewpoint (e.g., numerical, humanistic, skeptical, and, well, economics-focused), but rarely do I find them shading the facts or juggling the numbers to force an outcome, which is what I mean by bias.