I honestly think it's impossible to find truly unbiased news sources. That being said, at least most trusted biased sources still root their information in facts and have journalistic integrity. I'm not going to throw out NYT, WP, NPR, Vox, WSJ, National Review, etc. just because they lean in particular directions.
If anything, I'd rather have news sources that are widely known to lean a certain side, because then I know their potential bias beforehand, which I can balance it out by reading articles from opposing publications.
The thing i like about Al Jazeera, is if 20 people die in the west and 50 people die in say Sierra Leone, almost all major media outlets (including international ones) will ignore Sierra Leone and plaster the western incident all over the front page. Al Jazeera at least tries to give some fair coverage to what happened in Sierra Leone and give it a spot on the front page (even if nobody clicks it).
If anything, I'd rather have news sources that are widely known to lean a certain side, because then I know their potential bias beforehand, which I can balance it out by reading articles from opposing publications.