WSJ isn’t perfect, but they aren’t “right-wing”, and they at least try to mask their biases, which makes them markedly better than NYT, WashPo, etc in my opinion.
WSJ was solid right in the editorial but pretty neutral in news (though clear ideological bias was creeping in in the last decade or so) back before News Corp bought it out to augment their right-wing propaganda empire.
Now, it's definitely more high-brow and less in-your-face, beat-you-over-the-head with unsubtle propaganda than, say, FOX News, but it's just as clearly directed at the same ends.