Right, my favourite genre.
Yes, Rivers of London, I've just finished reading the last one and waiting impatiently for the next.
Magic Bites/Bleeds etc series is my very favourite. Just a fab world created for the Kate Daniels character. By Ilona Andrews. 8 books in the series.
Also by Ilona Andrews, Clean Sweep and Sweep in Peace.
First Grave on the left by Darynda Jones (ninth book soon to be released and anxiously awaited by me)
The Hollows books by Kim Harrison. Lots of those to read.
The Poison Study/ Magic Study / Fire Study books by Maria Snyder. (A teensy bit medieval, but only a bit. :) No dragons though.)
I'd suggest the Pern Books by Anne McCaffrey, but it has dragons and is medieval, so that's out.