Police show with a twist
I'm picturing it as like a Law & Order show in that it won't be super-actiony. Like, odds are you'd see, say, their show's version of Wolverine (played by Jerry Orbach) standing around a crime scene with their version of Angel (let's see... James Marsters).
"Wolverine" is standing around a crime scene with a paper cup of coffee, quipping sarcastically about stuff the CSI guys didn't notice without his sense of smell (getting a shot in at CSI, which is more of a Reed Richards kinda show anyway). Then, a suspect bolts for it, we get some shouting, "Angel" unfurls his wings but we don't actually see much of a chase, we just cut to him (wings out), cuffing a suspect in the park.
(The park, btw, is in the safest part of town, just made up to look like a "scary NYC neighborhood". If there's a mutantville like Marvel had for a while, it's blatantly done up like that.)
We then do the "Glung-glung" noise, and now we're in court. That sort of thing. (The DA would be Beast, because... C'mon, his name's McCoy, too. It's a gimme. ;) )