I have one example. They were doing an article about why it is bad to legalize pig hunting. They quoted an "expert" who said "I've seen deer hunters, and they LOVE hunting deer... so I would expect anyone with a gun to release pigs in other people's land so they can hunt them"
I happen to know several hunters, and that kind of accusation was pretty offensive and far from what actually happens in real life.
This is the type of thing to overlook as being bias when you don't grow up in that culture that would be offended at the accusation. I watch the PBSNewsHour, but I absolutely recognize they have a bias on certain topics, and know I am unable to see the bias because I am too steeped in it on other topics. That is true no matter how "fact based" any reporting is. It isn't terribly hard to stick to "just the facts" and still leave readers/watchers with a very warped picture by putting greater emphasis on some facts while downplaying or outright ignoring others.
I happen to know several hunters, and that kind of accusation was pretty offensive and far from what actually happens in real life.