Great list--nice call on Cale's piano version of Hallelujah. "Please" from "Vintage Violence" is also nice (almost a Floyd Cramer vibe, which matches the steel guitar).

"Edward the Mad Shirt Grinder" by Quicksilver Messenger Service features the brilliant Nicky Hopkins on piano.

And I've always enjoyed the vibrant "One Kiss" by Montt Mardie (Billy Joel + Motown) https://youtu.be/9MhS080YL54