I want Inspector Sledge Hammer.
Not only will the case be solved, but it’s highly likely that the person who framed me will wind up with an enormous hole where several important internal organs used to be.
I don’t want to wait for a trial. I want justice now, now, now!
Frank Pembleton of the Baltimore PD. Just cause he’s so frickin’ cool.
Barney Fife. No doubt I’ll get off then, even if I did commit the crime.
Well, to be really different my convention is in 1890’s London, and I want Inspector Lestrade of Scotland Yard to take the case. Oh, he’d be certain of my guilt, but confused by a few singular peculiarities of my case, he would call upon Sherlock Holmes to help clear up the finer points. After one searching look at me and commenting that I had been to China and my neighbor is an avid gardener, he would explain how every bit of evidence clearly shows that I couldn’t have done it, if only one were as practiced as him at observing. He would then be off, with the promise to call again tomorrow evening. Not a moment to lose since it’s Wednesday (which is an important fact) and it may be too late already. The real criminal might not be caught, but I’d at least be cleared.
(Sherlock Holmes counts, doesn’t he? His stories have been adapted to television, after all.)
Jerry Orbach. Ghosts would be kickass at getting info.
Beat you all with the best, suckas 
Dexter
this way the guy who framed me will get what he or she deserves. 
I want Sam Beckett to jump into my body and set right things which once went wrong.
Guard: “Don’t move an inch, murderer.”
Me: “ohboy”
I’d go with a team-up (if allowed), of Frank Cannon (tough ex-cop and superb P.I.), Sam McCloud (good-natured US Marshall who sees through deceptions), Kojak (ass-kickin’ city cop with connections and dirt on all the right people) and just in case there’s some supernatural element involved, some help from Carl Kolchak, The Night Stalker.
Tonight’s episode: The Gilded Suite
Special guest star: Logan 5 and Joan Van Ark
How about Co-monk-bo, a hybrid of the two?
“Oh, wait, one more thing. No, I mean, two more things. Three. Three more things. Hang on, I’ll start over.”
Well, that, and you know the real murderer will confess when Frank’s done with him.
Veronica Mars, no question.
Now I know she isn’t the best detective to ever be on TV but I’d love to take a crack at getting her into bed. If she doesn’t solve the case and I end up in prison, eh, at least I got to have sex with Veronica Mars.
Now if I want to actually get myself out of trouble, I’m going with either Monk or Goren.
Judge Dredd.
He is the Law.
Give me Gil Grissom and Sara Sidle from CSI, and put Greg back in the lab to process the evidence - I don’t want an intern!
I’ll go with Poirot (as played by David Suchet). He used to be a cop in Belgium so he qualifies.
Detective Vic Mackey might solve the case but for some reason I don’t trust him.
You guys, remember that Columbo only does cases where the murderer is seen committing the crime during the first act. I don’t think the man does “falsely acused.”
Me, I don’t care who investigates, just so long as Sam Gerard (The Fugitive and U. S. Marshals) escorts me to prison after I’m wrongly convicted. With him, I’m a shoo-in to escape and go on the run to prove my innocence.
Sir Rhosis
Rabbi Small. (Yes, he was a character in one television series.)
Oh! Can I have Lou Peckenpaugh from The Cheap Detective?
He does, actually. One of his earliest cases was called “Suitable for Framing,” after all, and in the OP’s scenario, it’s pretty obviously a deliberate frame job…
Columbo also let that one lady get off since she was so old and forgot she murdered whoever she did murder. But I’d still go for him.
