Jo Nesbo, I agree, very good as are the Rebus books.
Try the Tony Hill books by Val McDermid, interesting character and good plots.
Michael Connelly for the Harry Bosch and Lincoln Lawyer books, all good.
For something unusual try books by Tony Hillerman about the Navajo Tribal Police.
For real classics try the Hard Boiled Phillip Marlow books by Raymond Chandler (plots can be a bit complex but the writing is superb) plus the Continental Op stories by Dashiell Hammett, all the short stories can now be found in one volume, also I recommend the Lord Peter Wimsey books and stories by Dorothy L. Sayers, same period as early Agatha Christie.
For fantasy crime (forensic magicians), the Lord Darcy story's and single novel, these can now be found in a single volume collection.
Finally try the Charlie Parker books by John Connolly, these should really be read in order for some things to make sense, also there is a very slight supernatural element in the books, but they are well written and have interesting characters and villians.
Also more thriller then detective are the Jack Reacher books by Lee Child, not a bad read, worth trying a few.
And if you like old stuff then try the Saint books and short storys by Leslie Charteris, half detective, half James Bond type adventurer.