Recommendations for a jazz record which demonstrates vinyl superiority over digital

I have not bought a vinyl record since CDs came out, but have been exposed to numerous claims that vinyl is better.  I suspect jazz may be best placed to deliver on these claims, so I am looking for your recommendations.

I must confess that I do not like trad jazz much.  Also I was about to fork out A$145 for Miles Davis "Kind of Blue" but bought the CD for A$12 to see what the music was like.  I have kept the change!

I love the jazz in the movie Babylon, which features local Oz girl Margo Robbie (the film, not the jazz).

So what should I buy?