Murray Perahia playing Bach is always fantastic. I particularly recommend his recordings of the partitas (here's a performance of one of them). Also good are his English suites and Goldberg variations. Perahia's Bach is lyrical and contemplative, probably more Chopin-esque than other interpretations (to the extent that Bach can be Chopin-esque).

I suspect you'll like Scarlatti. I recommend Yevgeny Sudbin's recording of his sonatas.

I don't listen to much ragtime, but if you're into bop, I highly recommend Thelonious Monk and Bud Powell. Since you like solo piano, get the album Monk Alone. It's so good. Also, "Thelonious Monk" has to be the most bad-ass name ever.