It’s hosted by three con law professors, but they’re all extremely adept at avoiding jargon and explaining how the cases tie back to everyday life.
* The Oyez Project has 2 podcasts (really just pure SCOTUS audio): oral arguments and opinion announcements. (SCOTUS justices verbally announce summaries of their written opinions from the bench on the day they are released.) In lieu of links, I advise just searching on your podcatcher of choice.
* The National Constitution Center’s “We The People” podcast is excellent. It’s constitutional-law debate on current topics, but very academic and generally non-partisan. Again, search on your podcatcher.
* Justia provides e-mail newsletters and RSS feeds of opinion releases (summaries and links to the PDF opinions) for both (1) federal appellate courts (SCOTUS and the courts of appeals) and (2) state courts of last resort. There are also weekly newsletters and RSS for opinions by subject area (maritime, bankruptcy, business, etc.). The summaries are … okay. Not terribly well written but they give you enough of an overview to determine whether to pull and read the opinion. Link: https://connect.justia.com/about-daily-summaries
* The federal court websites are generally pretty good and provide their own RSS feeds of opinion releases.
The two hosts are center-right, but I think their takes are largely pretty fair. Note: Sarah Isgur worked in the Trump Justice Department but is hardly a fan of Trump… again, I find her pretty fair minded).