I watch Masterpiece Classic and Masterpiece Mystery regularly. I will DVR them when they conflict with the Walking Dead. I enjoy Nature, and I love to watch the Last of the Summer Wine.
Years ago was another story but my local prefers Lawrence Welk over Red Dwarf these days. I like the Nova/science type shows, I just watched one on drones, and some of the history stuff.
Grew up watching PBS. Sesame Street, Mister Rodgers Neighborhood, 321 Contact... only some of the shows that I grew up watching on PBS. Still watch PBS, Antiques Roadshow, Bill Moyers journal, Downton Abby (the acting is good), Inspector Morse, etc. It's worth having around.
PBS has also started inserting short ads in the middle of some shows too, such as Great Performances, but it's generally just in the middle of something over two hours long.
Maybe you can catch up via marathon? PBS did marathons leading up to series 3. Perhaps they will do that again?