My list?
Andy Griffth...the quintessential small town cop.
Bubba (Heat of the Night)
Columbo, a man that made you want to confess just to get him out of there.
Inspector Morse
Constable Fraser from "Due South" (corny humour based on picking on Canadian/American stereotypes...but the kind of cop you wish all cops could be!)
Marshal Dillon (Gunsmoke)
Baretta (Robert Blake's best role)
Detective Beckett (Castle, the woman is HOT)
Lennie Briscoe and all the other cops on the original "Law and Order"
Ed Lane (one of the Special Response cops in "Flashpoint")
Barney Miller (a cop who also was a great guy and boss with humour)
Jethro Gibbs (NCIS's most interesting character)
Steve McGarrett (the new 5-0 and the old one)
Detective Belker (Hill St. Blues)
Patrolman Milloy (Adam 12)
Patrolman Baker (Chips)
Detective Ironside (Ironside)
Detective Becker (Rockford Files)
Chief Jesse Stone (Robert B. Parker's Jesse Stone mysteries as portrayed by Tom Selleck, who plays a cop fighting booze in a small town and just is WAY cool)
.....
There..almost made 20 cops, and only one from the BBC (so fill in your best UK/European show characters)
All the cops I picked were/are on network TV in the US and are ranging from comedy to serious shows.......