If a Jazz bass is really what you want, go for the MIM Jazz. They're good instruments at a good price point. You could probably find a lot of MIJ Jazz's in that price range, too, if you don't mind going the used route.
I'm a big fan of L2000s and you can get a really huge range of tones with them, especially if you add a single-coil mod, but I haven't found the L2K tones to be especially like a Jazz, IME. Great tones and lots of 'em, but not really a true Jazz tone.
I have nothing at all against the Jaguar basses, but a Jaguar is not a Jazz - it's a Jaguar.
Hmmm... looks like you'll be getting all your answers from Brooklyn today.
"People don't realize it, but the bass player holds the whole thing up like Atlas." -Some wino who talked to me on the subway on my way to a gig