Can you recommend Jazz for some one that doesn't like Jazz?

@stuartk Hold up! I’m a southern rock and roll freak! The Allman Brothers Whipping Post! With two drummers in the band?! Similar to James Brown’s band! Come on now! And dare I say Lynyrd Skynyrd, Mother’s Finest!? And I had forgotten about Gato's Flying Dutchman label releases, thanks!

It took me a long time to develop an ear for more esoteric jazz. My thing is the era after jazz died, and popular music (Doors, Hendrix, Cream, etc.) became the market. 

If I wanted to introduce somebody to jazz in an incremental way (there are so many different forms), I'd start with Oliver Nelson's The Blues and the Abstract Truth. It is every bit as important, in my estimation, as Kind of Blue, but doesn't get the level of accolades that the Miles record does. I'm a huge fan of anything under the rubric of "spiritual" or "soul" jazz, but a lot of those records have gotten to be collectible and expensive. There is a remaster of Dream Queen that Bernie G. cut that is cheap and allegedly from the tape- the OG is a 4 figure record- it's lo-fi lounge music, but the title track is killer. Likewise, the track "Turiya and Ramakrishna" on Alice Coltrane's Ptah, the El Daoud, is stunning. The reissue is pulled from a digitized file, the OGs command beaucoup today.  If you like something fairly straightforward, try Art Pepper Today- a late record in his short life- the track Patricia, which was released three times, includes Cecil McBee, Roy Haynes and Stanley Cowell. Stunning performance, and the copy I have, an early Japanese pressing is quiet and extremely good sounding. 

I tend to go for small and private label jazz that is more obscure, but it took time for me to get to this-- it is a process of learning, and being accustomed to sounds that may at first seem cacophonous. Exposure allows you to develop an ear for this- one of the least popular Pharoah Sanders' releases-- self titled, on in the India Navigation label, did not sell well at the time, but OGs now command big money. It was reissued a couple years ago. 

To me, a lot of modern post-bop is a process of exploration. There's a lot of records out there. You just have to develop an ear for it and get engaged in the process of exploration. It's quite fun, though it has gotten expensive on vinyl. 

The classic Wayne Shorter Blue Note albums See No Evil, Juju and Adam’s Apple.

He played sax with Joni Mitchell and the sax solo on Aja. 

As a composer and player he’s so “lyrical” I can’t imagine any music lover not liking him.

You might start by listening to Chet Baker - Chet and Jim Hall - Concierto. Both albums are both very easy to enjoy in my opinion.

Jazz isn’t for everyone. Which is why so few in America purchase it. I believe that’s because most haven’t developed an ear to appreciate it. And yes, it helps if you’ve played an instrument to give you greater technical understanding. However, there are many artists you’d probably truly enjoy if you heard them. 
 

I prefer, sax, trumpet, piano, guitar, the vibes. I play piano, flugelhorn, and guitar. But you don’t have to be a jazz nerd like myself to develop an appreciation for it. That’s what you’re striving to do. 
 

Try these:

The Crusaders - Free as The Wind album, from 1976

and their Live at the Roxy album, from 1975. That’s easy listening enough. 
 

As been said, any Wes Montgomery CTI album, especially Bumpin and Bumpin on Sunset. 

Miles Davis’ album Working with the Quintet, a classic album from 1955 and its beautiful ballad It Never Entered My Mind is a show stopper. In fact it was that album that got him signed to Columbia Records as a comeback musician after a stint with drugs. I don’t judge anyone for we as a society have a huge problem with alcohol addiction. 
 

Dianna Krall, a pianist and singer has a huge following. I’m more impressed with her early work from the 90’s to 2005. 
 

That’s a good start. But don’t give up on the genre. You simply haven’t listened to what appeals to you yet. And you won’t know until you listen a lot. That’s what most of us have done for many decades. Personally, I grew up on jazz, soul, and all of the 60’s popular music because that’s either what was on the radio or played at home by my parents. Enjoy the journey.