Crinkling News [1] was a surprisingly good Australian newspaper. It ceased publication in January 2018, but I gather they would reopen if they could find the money (Costs $200k/year to run?).

It was written for children, essentially the print equivalent of ABC's Behind The News bulletin [2]. The writing level wasn't too far removed from the "adult" papers (I gather broadsheets are written to a 12 year old reading level and tabloids lower than that). Articles were a mix of mainstream news and kid specific stuff. There were fewer articles than an adult paper, but was basically all there with the extraneous stuff removed. It was completely independent.

[1] https://www.crinklingnews.com.au/

[2] http://www.abc.net.au/btn/

The Saturday Paper is quite good. It's only a weekly, but really, there's usually only enough truly important stories around to fill a paper a week, which is why there's so much ephemera and filler in the daily news.