have a british accent

I’m from Switzerland and live there as well. Therefore English is not my native language.
I think taking that into account my English is already quite good, and it’s something I’m proud of because I’ve learned it all by myself (watching movies, clips, listening to songs and reading books…), BUT: I have an american accent since the shows I’ve first watched were american… I like my american accent, but I want to be able to speak with a british accent as well, it can be very pretty and elegant (or extremely annoying, but so can american…)
And since there are some british people I admire a lot (like oscar wilde, pete doherty and carl barat, for example) I want to get this accent. I’ll just listen to british people a lot =)