As I play more than just guitar (ah the joys of doubling and then some), the list gets a bit shakey. Ill try and keep it brief. Probably help if I describe my style a bit, mainly jazz/funk but from a classical grounding having done the hole Tarrega/Sor shebang.
Influences:
John Coltrane - Not a guitarist, but everyone could learn something about phrasing and solo development from that man.
Leroi Moore /David Labruyere - Bit of a tie for DMB's saxophonist and Mayer's bassist. Fundamental point here is to be able to give something to the music, without taking it over. If you listen to any of these guy's work, you kind of notice the complexity of David's lines, but that they don't scream "Hey, Dig me" over the rest of the band. This has helped me greatly having been in numerous big bands over the years.
John Mayer - May be a bit pop-y, but the kid can play. Has quite heavily influenced my tone and style. Gotta love the SRV influence. Kinda turned me over to strats for most of my work.
Orchestra Baobab - Can't remember or spell the guitarist's names. The thing I love about african music is that they generally play at a lower volume, meaning the guitarists can solo in lower registers clearly. Something I try to do where possible, as it really is a much nicer tone.
Dream Rig:
57' Strat - Got one from the 80's. Stuck a Texas Special in the middle. Live in either the middle and middle/neck. I like the tone this puts out, great for big band work and blues. Has easily become my main axe. Think SRV's Lenny tone. Love that sound he gets on pull offs, almost glassy.
Gibson ES-137 - Still working on getting one. Is a must for small combo work and seeing how the masters of the trade got it done.
Great thread
Dave