For slow news, there are a few options. There's a quarterly Delayed Gratification magazine that's pretty good. I also personally enjoy Stratfor as a subscription service - understanding their marketing as "civilian intelligence agency" is way overstated, they do present essay-like articles that I find give me background, history, facts, and a bit of forecast that helps me contextualize news.
There's also a weekly Guardian magazine you can subscribe to in physical form which will have a combination of various sources. I've enjoyed it for a while.
For fast news, I like to use combination to give me various perspectives, so my favourites tend to be Axios, Guardian, Al Jazeera, and then a sprinkling of Washington Post, BBC, and my local national newspapers (Financial Post / Globe & Mail / Toronto Star in Canada). Axios in particular is good if you're just starting because you can basically Drill down/through on articles and get context which you'd struggle as you say with plain news agencies.
Note, I've heard good news about The Economist; I've subscribed and tried reading it but it was poor timing due to a new baby; their unsubscribe process was then so incredibly, atrociously, unbelievably, unspeakably user-hostile, that I have made it my mission in life not only to never ever ever subscribe to The Economist again, but to dissuade anybody else I possibly can, on the principle that humanity must prevail and evil overlords should fail. My 100 Croatian Lipa :)