When it comes to this whole situation, some of the best coverage I've seen of this has come from non-UK news sources. RTE in Ireland and ABC in Australia in particular have come out with some of the better pieces overall, and previously, RTE's News2Day had a wonderful explainer of Brexit which explained it much better than 3 years of coverage on BBC News ever has.
I'm responding with some trepidation here -- acknowledging this isn't strictly about presentation, but about news media coverage.
My observation is that British media tends to treat Brexit principally as a domestic political drama - the dynamics of what is happening on the EU side is of less interest than what is happening in Westminster. And thinking about the day-to-day news cycle, I can see why: there is considerable turmult and volatility in British politics (within parties, between the government and the parliament, comings and goings in cabinet), which provides a surfeit of content for media outlets. By comparison, there are far fewer shocks and controversies on a day-to-day basis in Brussels. Against the backdrop of Westminster, the EU side of things seems boring.
Outside the UK, the media is (naturally) less absorbed by the daily twists and turns of Brexit and the internal machinations of British politics. Thus the coverage tends to focus more on trends rather than specific events. In addition, non-UK media is more likely to view Brexit as a European question: what it means for the EU as a whole and for the EU27 member states (while still covering events on the ground in the UK). There are simply different priorities in terms of the news agenda.
On a personal level, I would agree that some non-UK sources provide richer analysis of Brexit than what British media generally offers. But I can also understand why, in a highly charged political debate, British media outlets would be nervous about giving greater space to the European perspective on things -- there is a loud and sizable segment of the population that would call that biased.