"Tiger Rag" beats "Stardust / Star Dust" in Rust's Jazz Records by a factor of two, but it still isn't as high as "St Louis Blues". Mind you, I haven't calculated how much more could be added to the Tiger Rag total if all the tigers by another name were to be included! This is one big cat that does change its spots.
With "Body And Soul", the total increases considerably if one considers ALL recordings of the number and not just the ones that fall within the jazz genre. Even so, it doesn't come close to the number of different recordings of Gershwin's "Summertime", which is said to total north of 30,000 (to date!). Of course, it does cross over several genres, from jazz to popular to classical.