Since then, I've got a lot of requests to make a Part 2. To be honest, I don't watch much TV so I struggle to make a good list. Of the TV series I do watch, many of them aren't good examples of British English (or even English in general, such as 'Vikings'!)
My general advice is, rather than watching something that will improve your English, just watch something that you enjoy. Enjoyment should always come first.
Having said that, if you're not sure where to start, here are some ideas that you may enjoy.