I am a huge mystery/crime/thriller fan and some of my favourite authors are British so I thought I would share them with you:

Mark Billingham - writes a series centered around a London policeman called Tom Thorne.  I love this series, and cannot wait to read the new one.  He has also written a standalone called In The Dark.  Mark started life as a stand up comedian and is a very funny guy and is also on Facebook.

Simon Kernick - writes thrillers based in England.  All are standalones with the exception of 2.  I first read Relentless which I couldn't put down as it was so fast paced!

Peter James - Writes a series based on a Sussex policeman Roy Grace.  I cannot wait for the next book as the last one ended in such a way that I was like "what, wait, whyyyyy????"

I'm not very good at writing reviews, but if you love crime centered thrillers then if you can, please please give these guys a go!

And - apologies, if you all know about them already!

Agreed about Mark BIllingham, love his books! I haven't read the other two you mentioned.

Some of my British favorites: Stephen Booth, police procedural set in the Peak District with Ben Cooper and Diane Fry as the main characters.

Mo Hayder--very gritty, gory series featuring DI Jack Caffrey

Jill McGown--police series featuring DI Lloyd and DS Hill--the author died a few years ago so there are no more of those coming.

And of course, plenty of the old standbys--Colin Dexter's Inspector Morse, P.D. James's Adam Dalgliesh, and a whole host of others.

Cheryl

One of my favorites is 

Paul Johnston - The Matt Wells series. The first book in that series is call  The  Death List  I could not put it down.  This author has other series too but I have not read them yet.

Looking forward to reading the books that were mentioned above  I have some of them in my TBR Mountain.

Tammy