What news sources are left-leaning, centrist, or right-leaning?
There is no completely clear answer to this question because there is no one exact methodology to measure and rate the partisan bias of news sources.
Here are a couple of resources that can help:
All Sides is a news website that presents multiple sources side by side in order to provide the full scope of news reporting.
The Allsides Bias Ratings page allows you to filter a list of news sources by bias (left, center, right).
In the Middle
Common Ground: Centrist News Sources
Almost Center News Sources
Sources on the Left and Right
Towards the Left
Towards the Right