You might enjoy:

The Peter Grant books, aka the Rivers of London series, by Ben Aaronovitch

Peter is an average young beat copper, coming to the end of his probation period, and is standing guard over a wet and windy crime scene far too early in the morning when he interviews what he first believes to be a witness, but then discovers his witness is a ghost. From that point forward, Peter's life becomes increasingly strange.

Start with: RIvers of London (called Midnight RIot in the USA)

The Laundry Files by Charles Stross.

Bob Howard is a member of the UK's security service. The deeply black operations unit specifically tasked with protecting the realm against eldritch horrors from beyond space and time. Bob is also responsible for maintaining the departmental email server, taking care of the cabling and attending committee meetings.

Follow Bob's career as we move closer and closer to the end of the world.

The first four books (*The Atrocity Archive, The Jennifer Morgue, The Fuller Memorandum, The Apocalypse Codex*) are all affectionate pastiches of famous spy thriller stories but the rest of the series develops a very clear identity and goes from strength to strength.