Kramer and Zondi (James McClure, in the books I just recommended in the "foreign mysteries" thread).

Poirot and Hastings (Agatha Christie)

Wimsey and Bunter (Dorothy Sayers)

try these:

Kathy and Brock (Barry Maitland)

Gemma James and Duncan Kincaid (Deborah Crombie)

Richard Jury and Melrose Plant (Martha Grimes)

Marlene Ciampi and Butch Karp (Robert K Tanenbaum)

April Woo and Mike Sanchez (Leslie Glass)

Of your list, I love Robert Crais and Tony Hillerman, gotta admit I haven't read many of the others!

I'll add Alex Delaware and Milo Sturgis, paired in Jonathan Kellerman's series.

Alex is a psychologist who often works with the police (it seems from reading the books that he does little else -- how does he make a living!) and Milo is a police detective who, with his rumpled Columbo description does not fit the gay stereotype.  Milo is not romantically involved with Alex, by the way, but has a handsome doctor partner.

I was going to holler Cole and Pike... but I see you already found them.

Cool guys.  Did you read "The Watchman" yet?  As much as he might want to hide it, Pike actually has a soft spot.

I just finished Holmes on the Range, by Steve Hockensmith, about two brothers using the Sherlock Holmes method of deduction to figure out what's going on at the Montana ranch they're working, circa 1893. Along with just being a really fun read, and a very different way to write a Holmes pastiche, what I loved most was the interaction between the two brothers, so that's one you might check out.

Also, there's the Brother Cadfael series by Ellis Peters, where Cadfael is usually working his medieval mysteries in concert with Hugh Beringar, the sheriff of Shropshire.

Do you know the Pendergast books by Douglas Preston & Lincoln Child? Out of seven books, five feature FBI Agent Aloysius Pendergast teaming up with NYPD Lt. Vincent D'Agosta. Their relationship and interplay is always one of the highlights of the books for me.

Susanna Gregory's   Dr. Matthew Bartholomew & Benedictine Brother Michael, Cambridge, 14th century

Simon Hawke's   young Will Shakespeare & Symington "Tuck" Smythe, a would-be actor; London, 1586-1592

Robert McCammon's  Isaac Woodward, magistrate & his assistant, Matthew Corbett, Fount Royal, colonial Carolinas 1699.

Bruce Alexander's   Sir John Fielding and Jeremy Proctor, 18th century London

Try Laurie R King's series with Mary Russell and Sherlock Holmes. Male+female, romantic tension (eventually), younger woman/older man working as equals. King also has a modern series set in San Francisco, but it's way too creepy for me.

Best wishes./maw

try the in death books by J D Robb

Eve Dallas and Delia Peabody

try the in death books by J D Robb

Also in that book

There is Eve Dallas and Roucke

I can't believe no one has mentioned Rex Stout's "Nero Wolfe"!!!!

Nero Wolfe is a 1/8 a ton genuis with a penchant for gourmet food and growing expensive orchids. He is lazy and an agoraphobic, so he hires the best New York foot detective around as his secretary. Archie is handsome, suave, and an extrovert. He does the leg work, and Nero Wolfe assembles the facts and solves the mysteries. Wolfe is notroiously lazy, but an egomaniac, Archie often has to make him work to pay the bills around the house nad lassos him into cases he would rather not take by insulting his ego. Nero needs Archie to deal with the "real world", Archie needs Nero to keep up his penchant for fancy clothing and dance hall trips (he has free room and board at Neros home). 

Filled with flower trivia and tons of yummy gourmet food references, its hard to beieve these began in the late 1930's. The first one is "Fer De Lance". Lots of kitchy dialogue. A totally fun series, and a cozy at that. Read them in order if possible.

This is probably my favorite series after Sherlock Holmes.