If you're looking for a more traditional sound like the recordings from the 1950's-60's, I'd recommend an archtop guitar and an amp with at least 35 watts. A lot of the classic albums were cut using Gibson L5's, ES 150's, ES-175's, ES-330's, ES-335's and Super 400's, along with Epiphone variants, though there are many derivatives of those guitars out there nowadays. Often those classic Gibson guitars were paired with tweed & blackface Fender tube amps along with Ampegs, Gibsons and others, which is why there's often a little bit of grit in the guitar sound on those old Grant Green, Wes Montgomery and George Benson records, especially in an organ trio setting! Players had to dime those small amps to keep up with the B3's so there was often some crust in the sound. That being said, there are clips of Joe Pass killing it on a Fender Jaguar, Les Paul, Pat Martino, George Benson and others swinging out on Les Pauls, Ed Bickert, and others on Teles, etc.
Solid state amps like Standels, Polytones and Roland JC120's were the go to amps in the 70's & 80's. Anything goes though, especially nowadays. Many modern players use solid body guitars and pedals to get their sound. The main objective is to get a big fat sound that blends in with other instruments. You also want to be inspired when you play! Portability is a concern for a lot of people too, so that may affect your purchase decision. Fortunately, we are in a Golden Age for guitar gear so there are many options out there for you in many sizes & price points. For me, it all depends on the gig. I typically bring out a 335 or Tele with my '64 Bandmaster and pedalboard. Since the Bandmaster lacks reverb, I use a pedal for that, along with a clean boost to fatten up the tone. I keep things fairly traditional, though I sometimes like to use an overdrive when following a B3 player, or tenor player who's playing at 400db and hitting splits!