As long as I can't read a article in German without taking a lot of effort, I'm trying to find places that have local news in English, so I can know at least what's going on.
~~Berliner Zeitung has a section with articles in English in their website There is also a weekly newsletter~~
Berliner Zeitung doesn't have this area anymore, and the journalists responsible for this made a newsletter focused on immigrants in Germany.
The German magazine Der Spiegel also has a section in English.
Deutsche Welle, Germany's internacional broadcaster, also has a English version for news about Germany.
Also there is the website The Local that have news in English for a lot of different coutries from Europe. It has a paywall, so I follow Rachel Loxton, editor of the German website, on Twitter and know most of the things.
Berlin Briefing is daily (workday) podcast with local news about Berlin.
Bonus tip: Meet the Germans, a series from DW that shows culture aspects of Germany. It has a YouTube channel and Instagram profile.
Other bonus: About whole Europe, the podcast Inside Europe also from DW is a good resource.