In no particular order mine are these.

1. Sherlock Holmes (Granada Television with Jeremy Brett).
2. Hercule Poirot with David Suchet
3. Miss Marple with Joan Hickson
4. Law and Order (the flagship)
5. Millennium with Lance Henriksen.

1. Twin Peaks
2. Fargo
3. Sherlock
4. Hill Street Blues
5. Lie To Me.
   MAGA! FAFO! Schrodinger's Cat walks into a bar, and doesn't. Dumbocraps: evil people who celebrate murder.

1. '
   Criminal Minds
   '.
2. '
   Third Watch
   '.
   “Call a SPADE, a SPADE; and a TRANNY, a TRANNY, or an IT!!!”.
   "THAT'S SOME BAD
   SHIT
   ,
   HARRY
   !".

6. '
   Cop ROCK
   '
   !!!
   “Call a SPADE, a SPADE; and a TRANNY, a TRANNY, or an IT!!!”.
   "THAT'S SOME BAD
   SHIT
   ,
   HARRY
   !".

Law & Order
Law & Order SVU
Law & Order CI
CSI
The Practice
If we take the time to see with the heart and not with the mind, we shall see that we are surrounded completely by angels ~ Carlos Santana

1. Bosch (Prime Video)
2. Boardwalk Empire (HBO)
3. Justified (FX)
4. Sons of Anarchy (FX)
5. Peaky Blinders (Netflix)

1. The Americans
2. The Killing
3. The Wire
4. Hannibal
5. Broadchurch
   Honorable mention: Homeland, The Fall, Narcos, Luther, Bloodline, Breaking Bad, Top of the Lake.
   Some may not really be considered traditional crime shows But you get the point.

CSI (Vegas)
Bones
Criminal Intend
Dexter
Columbo
Lincoln Lee: I lost a partner.
Peter Bishop: I lost a universe!

1. The Sopranos
2. The Wire
3. Dexter
4. Sons of Anarchy
5. Sherlock
   The Killing (Danish & US)
   The Shield
   Boardwalk Empire
   Justified
   Millennium
   My Top TV Shows All Time List:
   http://www.imdb.com/board/bd0000012/thread/259033940

1. The Sopranos
2. The Wire
3. Boardwalk Empire
4. Sons of Anarchy
5. The Shield
   Forget it Jake, it's Chinatown.

1. Columbo
2. Law & Order
3. Perry Mason
4. The Rockford Files
5. Hill Street Blues
   Je suis Charlie Hebdo.

1. Blue Bloods
2. Law and Order: SVU
3. Third Watch
4. Chicago PD
5. Criminal Minds
   Not necessarily in order though
   "Clear Eyes, Full Hearts, Can't Lose."

1. New York Undercover
2. Miami Vice
3. Hunter
4. In The Heat Of The Night
5. Matlock
   You dodge a question like a character dodges a punch on Mortal Kombat.-IceJJFish

In no particular order:
Life
NCIS (all)
Endeavor (UK)
Doctor Blake (Australia)
Psych & Monk
Lie To Me
Murdoch Mysteries (Canada)
Wallander (UK based on Swedish series)
Inspector Lewis (UK) & Inspector Morse (its predecessor)
And CSI (all)
" Just 'cause you put syrup on something don't make it pancakes"

I responded to this thread years ago, but, since then, I've found a couple others I'd substitute.
1.
Hill Street Blues
2.
Justified
3.
Life
4.
Forbrydelsen
, aka
The Killing
5.
The Rockford Files