...you're referring to the de rigueur "jazz tone" of a neck humbucking pickup like a Gibson PAF, with the treble turned way down on the amp. While I love that tone (I got bitten hard by the jazz bug as a renegade conservatory student), it is almost a cliché when it comes to jazz guitar tone. Anytime I do session work and someone wants a "jazz sound", I just reach for my Tele Thinline with the George Benson pickup, plug it into a Fender Twin, and turn the treble way down near zero. 
If you're looking for a little variety in your jazz guitar sound, you might want to check out "Gypsy jazz" aka "jazz manouche", which is played mostly on acoustic instruments. The most well-known artists of the genre were the late Django Reinhardt and Stéphane Grappelli (Quintette du Hot Club de France) from the '30s to the early '50s. But jazz manouche still a very active field today; it is also the ancestor to genres like Western Swing, and I think you can argue that the country-blues-rock of the Eagles et al. is a distant cousin.
https://en.wikipedia.org/wiki/Gypsy_jazz
https://en.wikipedia.org/wiki/Quintette_du_Hot_Club_de_France
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