CSI: NY/WMG

Stella is really Athena of Percy Jackson and The Olympians
Stella has no known family except a mother who looks exactly like her. She has mixed Italian/Greek heritage, but values the Greek part more -- like a Greek goddess who was Roman for a while. They both live in New York. She seems to solve crimes for the mystery and logic, and would want to do it even if it wasn't her job; hence, why she didn't go on strike. And finally, they are both played by Melina Kankarades.
 * Does this mean that Adam will be getting a little bundle of demigod joy on the West Wind soon?
 * Hopefully!
 * Technically, she is Athena, if you go by the movie.

Stella is a daughter of Athena, and her father is Professor Papakota.
For the reasons listed above. The Melina is also applicable because the children of the gods do look like their parents in some way.

Mac is also a son of Poseidon. He was a Marine, and there is also an episode that mentions he swims a lot.

The whole show is a dream of Stella's
Seriously, it's the only explanation for the episode "Grounds For Deception," which, while great, is so Stella-based and FanFictiony to be anything but a dream. It also explains the attractive male characters.
 * Problem: Melina Kanakaredes has announced she will not be returning for season 7. It is unlikely that a dreamer would have a dream where they left and let Sela Ward take their place.
 * But not impossible!
 * She could be dreaming about what happened after she left for New Orleans.

New York in this show has an emergency weather-control system.
They only use it in emergencies -- but that is why the volcano that flooded Miami in CSI: Miami didn't flood New York in this show. (The Canary Islands are closer to New York than Miami in latitude.)

Don Flack is really or is related to Tuxedo Mask and/or Phoenix Wright
Look at this picture, then look at this one, and finally, look at this one.

If that's not enough, then all three of them face dangerous villains, help bring justice to the bad guys, and are snarky on occasion. And all three of them experienced a BSOD at least once.

Detective Mac Taylor has an uncle who lost his legs in Vietnam.
And on various holidays, honorary Uncle Forrest drops in to tell one of his tall tales again...

Claire's body was never found because she's a controller. The Yeerks used the attacks to make off with a few hosts in a way that wouldn't raise a lot of questions.
(the re-launch of the series makes this possible. And a disclaimer that this troper does not really like 'bringing Claire back from the dead' fics because she agrees with other fans it's disrespectful to the real people involved.)

Stella Bonasera was born a twin. Her sister went on to become a bank robber and murderer
While she had a rough childhood, she turned out well and became an NYPD detective. Her twin,though, served time in Canada for bank robbery before using her adoptive sister's death to fake her own death. She ended up toying with the Mountie who first tracked her down, going to Chicago, getting it on with him and then framing him for murder. He was about to leave town with her when he was shot because his partner thought *she* had a gun. It would be awesome if Victoria showed up in NY and got mistaken for Stella...though it's best done before Stella left town herself. At least the prints would clear Stella. Throw in Fraser chasing the wrong sister and you've got a heck of a story.