There are too many that have come and gone to list.
I too like crime drama shows but for some reason, not the CSI shows. Not a fan of Criminal Minds, either.
Elementary is great. I was never a fan of Lucy Lui in the past but I think she is great in this series. And I like Sherlock too.
NCIS (all of them)
Law and Order (not sure of this latest version)
NYPD Blue was an all time favorite
Blue Bloods
The Blacklist
Jessica Jones
Person of Interest
Longmire
Bull
Poirot
Rizzoli & Isles
Major Crimes
Murdoch Mysteries
I liked Scorpion but soon tired of it because their tricks, hacks and accomplishments became too unrealistic.
Medical shows are another favorite.
House
Night Shift
Pure Genius (sad it was cancelled)
Code Black
And medical and crime shows are good too. Like Bones.
Iron Chef
Good Eats
And of course, there's Doctor Who and Star Trek (all of them).
Way way back, there was Gunsmoke, Topper, The Avengers, Get Smart, The Man from U.N.C.L.E., Perry Mason, Ironside,
I am not into soap operas and one thing that will ruin a good crime drama or medical drama for me is when it becomes more about the romance and betrayal drama between the characters than it is about the science of medicine or detective work of the investigators. I used to really like Grey's Anatomy but quickly lost interest because of the side shows. I did like Castle, however.
There are just too many zombie and vampire shows - got tired of all them.