Jorma Kaukonen is a must for this list.

richard thompson

I know there are people here at our ABB site here who don't like Clapton...but to me he is a very good acoustic player. 

The late Stevie XRay Vaughn was a good acoustic player!! 

I would say Jimmy Page.

Pat Bergeson sitting on the left is way up there too (Pat was in Les Brers for those that saw them)

Pretty good list I just found looking for recent stuff.

https://acousticguitar.com/45-albums-from-the-2000s-you-should-hear/

Neil Young is my favorite electric/acoustic player.

Jerry Garcia is right up there after him for his dual playing style and ability.

Kind of a spin-off topic could be songs originally recorded electric that were remade acoustic.  I always loved the Tom Cochrane acoustic Lunatic Fringe. 

Warren recorded End of the Line acoustic.  I like that a lot also.

Mike Bloomfield

Kind of outside the subject limits, but many of the best electric and acoustic players that come to mind are in jazz, fusion, country, etc. In that case, many of them can definitely rock The album 'Friday Night in San Francisco' (Di Meola, McLaughlin, & Paco) just came to mind or similar projects such as the ones with Larry Coryell. 

Then a complete other direction, there's this guy:

I am biased but Warren Haynes plays excellent acoustic

Also Steve Howe of Yes

@bill_graham

One of Dickey's best songs with Warren on Dobro. 

Click on YouTube at the bottom of box

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Some great picks. A lot of the ones listed I thought about and are all great, but I was just trying to think of ones that brought over the acoustic a little more as a feature  instrument.

@rationalrebel 

Hey, it's the guy from Smokey and the Bandit! Saw that movie as a young kid and it was years before I realized that Jerry was an awesome and highly respected guitar player. Guess I never paid that much attention to Hee-Haw when I was growing up, but I remember a lot of good looking women and Roy Clark on the show regularly.

Two of the best I've ever seen:
Tommy Emmanuel and Steve Morse

@jarwolfs  Tommy and Molly! White Freightliner Blues. 

I like Warren’s acoustic songs, really for the arrangements and his singing. But, I’m not convinced he’s more than average — within the paradigm of professional guitar players — on acoustic. 

@meandean Indeed. And as with so many things in the musical world, there is an odd more recent connection to the Allman Brothers family. One of Jerry's "right hand mans" throughout his touring days was Pat Bergeson (who I believe they met through Chet, as Pat was playing with Chet prior). On the clip below, one can see Pat actually blowing the harp as Jerry is being his normal funny self. For those that don't recall, Pat was one of the 2 guitarists (along with Jack Pearson) in Les Brers that played at Wanee, Peach, etc. Below is a video of them as well. Pat's an extremely versatile player, phenomenal jazz player, and a great guy.

Tommy Bolin.

Really accomplished acoustic player although hardly known for it. His Archives released two such cds, Naked I and II that featured acoustic versions of many of his better known electric takes. Also, such songs as "Alexis" from his days with The James Gang and "Savannah Woman" and "Someday Will Bring Our Love Home" from his solo releases illustrate how good Tommy was on acoustic.

Many years ago from a close associate of his I got some all acoustic studio work of Tommy's (quite a bit of it showed up on the Naked releases) and before starting into a version of "Wild Dogs" you can hear him shake out several lines of coke and then snort them. Knowing that drugs killed him, I try to skip past that part when I listen to it. So sad what drugs did to way too many musicians (and still does).

@oldcoot  You are right Coot. Another amazing musician gone way before his time due to drugs. I good friend of mine just buried his grandson at age 22. Got out of rehab the second time in November and recently found dead. My friends fears were confirmed. The autopsy show overdose of syntenal. I'm not sure what syntenal is. I never heard about that one in the 1970's when I myself often would be one toke over the line many nights and weekends. 

Tommy Bolin was another one. I recently related about seeing Gary Moore (dead at 58 from acute alcohol abuse) in the 1980's when I had never heard of Gary and was stunned when it became clear Eddie Van Halen or Steve Vai, the two whiz hot rod players I had seen, wouldn't be able to blow Gary Moore off the stage. 

Tommy Bolin was also one of those. He could blaze shred a machine gun run cleanly as good as any hard rock player.  Actually, while being impressed with guitarists who can do that and still be clean, I'm not able to listen to "rocket man" style guitar playing everyday. 

R I P Tommy!