If you are familiar with Game of Thrones, a few of the actors have a part in "Misfits", which was/is a supernatural drama (?) series. Not a comedy, but it had it's funny moments. The story follows a handful of the "misguided youth", doing their days of community service for whatever pity crimes they committed, but a sudden supernatural storm grants them weird superpowers based on their greatest inner fears. Iwan Rheon (playing Ramsey Bolton in GoT) and Michelle Fairley (Catelyn Stark in GoT) plays a role in this series.
The other one - and my personal favorite - I can suggest is "Peaky Blinders". The show sets in 1919, Birmingham giving the viewer a picture about local gang wars and the fight of organized crime and the chief of the local police. However this series doesn't really fall the romance / comedy section, (and fair warning, it's quite raw at some points) it is one of the better if not the best (gangster) drama series i've ever seen in my 20something years. :)
When I was preparing for my Cambrdige CAE exam, I watched Peaky Blinders and Hell on Wheels (which is not UK based, but has a surprisingly wide variety of accents on screen, including various American from both the North and South, British, Irish, Chinese, a Norwegian, and some German characters, also worth checking out if you're practicing your listening skills).
I hope my answer helped you a bit. :)