The Crown is historical, but it is also really good drama about the relationships between Queen Elizabeth II and Philip, and between her and Churchill. The history is there, but it is the backdrop to the stories not the most important aspect of the programme.
And it really is so perfectly British - give it a go, and see -worst case you only watch a bit of one episode and don’t like it, and have lost a bit of time.
I’d recommend dinnerladies, too - I’m not sure if it is on Netflix, though. I love the gentle humour, and the way Victoria Wood can make you laugh and cry at the same time.