A couple of mystery authors / series which I like, and would rate reasonably fast-paced, and not gory. British settings in both cases: the former author is British; not sure whether the latter is British or American.
Peter Lovesey -- writes mysteries set in present-day Britain. The majority -- not all -- feature a likeably cantankerous-but-humorous police detective, head of the murder squad in the historic and beautiful city of Bath; the "spirit of place" well evoked. And, Carola Dunn's "Daisy Dalrymple" mysteries (there must be fifteen or twenty of them) -- set in the mid-1920s, on the "cosy" side but not over-cloyingly so. Likeable central characters, and IMO the books catch the atmosphere of that period, very well. Some likeness, in milieu and more generally, to Dorothy L. Sayers's "Lord Peter Wimsey" mysteries; but without what I see as, and am irritated by, Sayers's pretentious, self-parading highbrow grandstanding.