I like the Wilson Alexandria. Nice dynamics.  Natural balance.  Good soundstage, decent imaging for a mid-size speaker.  

Triangle speakers would fit the bill

Definitely horn speakers.  Check out Charney Audio website.  Great sound and nice design.  Live music with my Viking Acoustic Grande Voix dual horn speakers is mesmerizing.  Unfortunately, they are way above your budget.  

Cerwin Vega pro line or the xls 215s, peavey and jbl pro lines are all good for live recordings and get some pa subwoofers too I use a Cerwin Vega el-36dp and an cvx-21s 

I am a grateful dead fan and I agree that you want the system to have a very clean tight base to reproduce Phil‘s baselines. I just recently replaced my JL audio subs with a swarm sub system. I really like it. Very clean and tight and integrates well with my speakers if you have the room for it, I would consider that. You can Google it.

A big grateful thanks to all that replied! An apology for not listing my budget (which is around 6-8k) I had a feeling JBL would be a recommendation as Jerry Garcia used jbl speakers in his cabinet, and the infamous ‘wall of sound’ was filled with jbl speakers. Not sure what speakers Phish plays through or the many other jambands I listen to use. The subs sound very important as both Phil Lesh  (the dead) and Mike Gordon (phish) really capture the very low end frequencies. Feel free to keep chiming in, and a happy day to all you audio heads!

Magnepan Speakers are unreal for live music. Live music is what I primarily listen to on my 1.7i’s because the soundstage is so vivid and all the nuances of the vocal inflections and crowd interaction are really brought out and bring to make it an immersive experience. 3.7i's are in your price range and are phenomenal.

Acoustic Research AR-9'S WILL ROCK WITH LIVE MUSIC

As I reflect on it. my old Bose 901s sucked!

Bose 901’s!! All of their marketing was that the reflected stereo everywhere was base on their live music delivery research?😂

wordsmithing aside, i think we know what the op is asking for

leaving aside those designed to produce the sound of a live classical performance, the speakers out there that have that 'live performance' type of feel, sound, with attack and dynamics (if not as much a sense of control and refinement) are

upper jbl

klipsch

tekton

better zu's

atc's (properly driven - no mean feat)

tannoy/fyne

fleetwood/oma

as others have mentioned, subs may well be needed to complete the package for that kind of sound

I'd recommend Tannoy VQ 60 System with 2  X  18" Dual Subwoofers.

I am a huge jamband fan. My preference for speakers are JBL and Altec. I am currently using Altec A7 as my mains for two channel and JBL 8330 for my surround speakers. Just awesome! The 150" projection screen helps with webcasts.

That's all not for live music. These recommendations above are for RECORDED music. For live music speakers and equipment probably will be way too loud for indoors.

Altec 800, JBL Hartsfield.

Horn based speakers.

For no fuss/new check out the new Klipsch line (here's a good sound demo of 3 models and I often see B-Stock for sale).

DeKay

https://insheepsclothinghifi.com/grateful-dead-hi-fi-auction/

Klipsch, McIntosh, Altec from the Grateful Dead’s deep Sotheby’s auction

I have 2 systems

both low power tubes

one has Ref 3A de Capos

the other Klipsch Quartets (horns)

I like both but the de Capos are much more refined and the Quartets always feel like live music

As non-acoustic music is usually heard though the sound system the live music venue uses---which rarely doesn’t employ horns as it’s midrange and tweeter drivers, the advice to listen through horns at home is not without merit. But be for-warned: if you haven’t heard horns in a home setting, you may be in for a shock. They can be very "forward" sounding, and sometimes "brash".

I tried listened through my band’s Altec Voice-Of-The-Theater PA loudspeakers, and found them way too colored for my taste. But then lifelike vocal and instrumental timbre is exceedingly important to me. Art Dudley didn’t seem to mind a little editorializing in his loudspeakers, and loved his Altec’s. To each his own!

Budget?

I am a Dead fan myself and used to have Klipsch Heresy’s, the horns work well for live music. You would need to add a subwoofer or two to round out the low end. 

If you want to recreate live music, you will need low end. There's nothing like a great live recording with full range speakers. Think larger, floor standing speakers. The MC275's should do well with reasonably easy to drive speakers. Joseph Audio Pearl, DeVore GibbonX (or 0/96's), etc. just to name a few

Wilson Watt Puppy 8 with Gryphon Diablo300 definitely takes me right to the venue.

My next set o speakers will be Salk ... 

If you're listening to live music, why do you need speakers? 🤔

ATC. 

Horns.....