agree with @lewm about what is considered jazz, and what is ’something else’ but maybe completely enjoyable.
regarding jazz recordings that clearly demonstrate the superiority of vinyl, here is an easy one. low hanging fruit.
---my darTZeel 468 mono blocks have a ’peak watt’ output (the value holds for 8 seconds after) read out on the front face. it’s very easy to see with your eyes how all analog vinyl has higher peaks than digital with the same recording played back at the same SPL level. because digital smears peaks. so it’s easy to find jazz recordings with significant drum whacks or heavy horn crescendo’s and just ’look’. no place to hide. one particular recording i play for visitors is the AP 45rpm pressing of ’Georgia On My Mind’ from "Ben Webster Live at the Renaissance". about 2 minutes in there is a drum whack that hits 150+ peak watts (my speakers are 97db, 7 ohms so a 150 watt peak is significant). the digital file peak is around 70-80 watts peak. if you never heard the vinyl the digital is impressive. but it’s not close to where the vinyl can go.
now multiply that to every micro-dynamic millisecond of the recording and the reason why an analog recording has more energy is easy to understand. and it translates into textural and musical flow differences too.....although we cannot always ’show’ the unbelievers every difference. they need to be heard.
this ’visual’ convinces the most jaded analog skeptics. and i can go all night with more A/B examples. my current digital does not suck either, and i have done this compare over many years with different tt's and digital sources and the result is always the same.