RealClearPolitics https://www.realclearpolitics.com/ has done this sort of thing for years. Every other headline is sourced from conservative or liberal news source.
The RealClearXXX sites are my main entry point for news; the format is ideal and I don't know anything as well curated. However they definitely have a slight conservative bias, evidenced by their selection of articles and op-eds.
Yes, and they're often pretty clever with their juxtapositions, giving two completely contradictory takes on the same subject one after the other.