Here are a few of mine:
If we can include other stringed instruments:
Have to second the Michael Hedges vote. I saw him twice in small settings and the guy was incredible. His untimely death was so unfortunate. Here are some others...
Robert Fripp (a second vote)
Ken Bonfield (Who? Look him up.)
Duane Allman, Jimmy Page, Keith Richards. Are these too well known?
If so, I'd put Robin Trower, Warren Haynes, Richard Thompson on the too well known list.
The late, great Ronnie Montrose.
A musician buddy turned me onto this artist whose music DNA is embedded in a ton of artists from the last 50 years.
Another vote For Robin Trower
also Richie Blackmore
Bill Connors, Terry Kath (Chicago), Vernon Reid, Larry Coryell, Mick Taylor, Eddie Hazel (Funkadelics), James Mankey (Concrete Blonde), Oscar Moore (Nat King Cole), Jesse Edwin Davis (Taj Mahal), Bill Nelson (BeBop Deluxe), Shuggie Otis, Steve Cropper, Bill Frisell, Jeff Buckley, Magic Sam, John Abercrombie, Pete Anderson (Dwight Yoakam), Andy Gill (Gang Of 4), Hubert Sumlin (Howlin' Wolf), James Blood Ulmer, Janis Ian, Dave Davies (KInks), David Hildago (Los Lobos), Marshall Crenshaw, James Honeyman-Scott (Pretenders), Duke Robillard, Joni Mitchell and David Williams are all really interesting guitarists who sometimes get overlooked. There are hundreds of others.
-Paul Weller (The Jam)
-Elliot Easton (The Cars)
-George Gobel (best ever, IMO)
meant to include Shuggie Otis.
Stevie Ray Vaughan
Alvin Lee...somebody please stop me...
Gary Clark Jr.
Love the call on Bert Jansch, so I'll add his Pentangle band mate John Renbourn. Jansch was the more influential player, but Renbourn is a miracle of nuance.
All the Fleetwood Mac alum (Peter Green, Danny Kirwan, Dave Mason, Rick Vito and especially Lindsey Buckingham).
David Hidalgo from Los Lobos.
Tommy Emanuel, tho I wish he'd play more interesting material.
I'd add Johnny Winter to the list.
As much as I dislike his voice, John Mayer knows his way around a git-box. Elvis could play well (see his '68 come back video). Kenny Wayne Shepard knows how to "do it". Cincinnati's Josh Cole has the right kind of soul...
Glen Campbell's guitar playing has always been under-appreciated.
Definitely agree with so many of those names that have lit up the ears over the years... I'll admit I am a little surprised that I'd get to add Will Ackerman and an all-time fav, David Lindley, to that list - both are just exceptional.
I just recently became aware of him via The Plot record by Enrico Rava. I look forward to getting into his discography. His style is kinda of an airy, kinda trippy, minimalist jazzy otherworldly deal but still swings. At last it is on the above session for the ECM label.
Classical: Oscar Ghiglia, Eliot FIsk, Jorge Caballero
Other: Adrian Legg, Leo Kottke, Eldon Shamblin, Oz Noy
Wow! You guys know your guitarists. No one mentioned my favorite artist of all: MASON WILLIAMS. No one here will surely care for him over all. That's an odd fact for a man who wrote Classical Gas; the most played instrumental piece ever. I've been collecting his work for 40 years now. Joe
Some very good picks have been mentioned here!
I would like to include Roy Clark,Mick Ronson,Steve Winwood,Doc Watson,Charlie Christan,John Frusciante,Tommy Emmanuel
Jorma Kaukonen, and Gordon Lightfoot.
Bruce Cockburn HAS to be on the list!
I'll second the Guthrie Trapp nomination and also add Jeb Puryear of Donna The Buffalo. Phenomenal guitar player with a really good bang
Remarkable that no one mentioned Michael Bloomfield.
Lots of good ones above, not mentioned as far as I can see are Tony Rice and Doc Watson.
American classic country: Chet Atkins
British rock + classic country: Mark Knopfler
Telecaster master: Jim Campilongo
Funk/Jazz: Oz Noy
Blues/R&B: Josh Smith, Matt Schofield
Manouche: Adrien Moignard, Bireli Lagrene, Django Reinhardt (RIP)
Original/beyond label: Les Paul, Jimi Hendrix (RIP)
Not to mention the Chalk and the Cheese
Blues - SRV, Eric Clapton, Buddy Guy, Kenny Wayne Sheppard
Country - Chet Atkins, Glen Campbell, Roy Clark
Jazz - Kenny Burrell, Al Di Meola, Wes Montgomery
Rock - Mark Knophler, Carlos Santana, Neil Schon