Check out this media bias chart.

https://adfontesmedia.com/interactive-media-bias-chart/

Hint: though some search features are paid etc. There is raw data in JSON format in the raw HTML code.

Also check https://www.allsides.com/media-bias

Google News works decent.

My problem is that very few media are right leaning, so bias meditation via counterweight is impossible.

Associated Press, Reuters, PBS (if you don't mind a moderate focus on liberal topics)