Bulletin Board style news articles can be found at most Trading Stations which you are docked.
Find the option to open the Bulletin Board from the context menu while docked.
The Articles will remain the same for some time until the time out and new articles will be added.
The articles can be just static news, universe lore or dynamic news based on the current events, like border skirmishes, sector invasions, station destructions and some player activity.
The dynamic news will be localised to the surrounding sectors, so will only be found if you are close enough.