What I really enjoy about solo piano (and being a pianist myself!) is that a single musician is more-or-less in control of all aspects of the performance: the melodic aspect, the harmonic aspect, the textural aspect, etc. It's not as if the purity of the musical conception is going to get dispersed into different directions by different performers. I also like it that the balance and texture are able to change instantaneously at the pianist's touch (something that you can't achieve on the organ or the harpsichord for instance). The weakness of the piano is that you can't crescendo or diminuendo while holding a single tone, so you need a moving line to express your "horizontal" dynamics.
With that said, I'd like to echo the recommendations which have been made for the performances of Minoru Nojima on the Reference Recordings label (also available on some download sites) - not only the Liszt, but also the Ravel (which is IMHO far preferable to what I've heard from the Angela Hewitt performances). As for one or two performances which have not been recommended thus far in this thread, there's so much that could be listed, so these two are just the ones happening to jump out at me right now:
Magnificent music - probably one of the greatest piano sonatas ever written, although it will seem elusive at first. This is a piece of music that really shows what the piano can do - and the performance and engineering combine at the highest level (a situation all too seldom encountered!). Yes, I know that there's a recording of this work with Marc-Andre Hamelin (I have it!), but the titanic forces at work in this music are just not conveyed in his recording like they are in Mejoueva's. Unfortunately, as far as I know, this recording is available only in Japan, so you need to order from HMV Japan or an equivalent site. BTW, I hate to say it, but Mejoueva is not a babe - but she IS a great, great musician.
My second choice (as of this moment!) would be the Richter studio recordings of a couple of Beethoven Sonatas:
So much of Richter's recorded output is not optimally engineered - here is one of the few recordings of Richter in his prime where the engineering is worthy of the performances. I DO recommend the XRCD (playable on a regular CD player) over the "plain old CD" issue - it costs more, but playing such as this deserves the very best presentation. Reviewer Harris Goldsmith used to comment frequently on the "plasticity" of Richter's legato, but that's only one of the miraculous aspects of his playing.
BTW, my wife recommends the Chopin Etudes, Op. 10, with Egorov:
. . . and the Chopin Etudes, Op. 25, with Sokolov:
