The Daily

The Daily produced by The New York Times is a podcast I recommend to keep up on current events. It typically focuses on one story in depth by a NYT reporter and is hosted by Michael Barbaro. The stories are very personal and the journalists/host make it feel like you are in the room with them hearing things unfold. In my own podcasts I strive to create a personal connection with the listener as well.    
https://www.nytimes.com/podcasts/the-daily