I often miss the news for a day (too busy) or a week (traveling/camping) and then want to catch up. Also sometimes I avoid the news for a day because I'm avoiding a sporting event spoiler. Most websites/newspapers are geared toward today and don't let you easily see what they looked like yesterday or a week ago. Even better would be allowing a time range and being able to see the top news during that time period.
Some basic filtering would be nice too. For example, I might want to see a politics-free feed, but right now that would require looking at three different categories. It would be nice if each category had a checkbox next to it, and clicking on the label selected the category and clicking on the checkbox deactivated it when no category is selected. Also it would be nice to be able to add search strings that would remove items, so I could add "Trump" to a list and not see any articles with that in the headline (or maybe in the summary). As it is now under Business I'd still get a lot of Trump-related news.
Also curious why you chose to have some feeds off by default.