Give a good example of Rach playing completely different then the composers markings. 
If I may give several:
The Impromptu linked above by Schubert is a very good example in the tempo and the dynamics.
I also have two recordings of him playing his own Op 3 No 2 that are completely different... however it is on CD and I cannot link.
Still about one of his compositions, the Op 23 No 5, listen to the following recordings:
Else I recommend his recording of Chopin's Sonata Op 2 (findable on ourtube). If you are not familiar with it, then go to the funeral march (third movement) and listen to the tempo, then listen to the second A section, it starts in forte instead of starting in piano. (I prefer this version than that which is scholarly played, I find it builds more drama)
Also his rubato and tempo in Chopin's Op 64 No 2 are not really conventional and not in accordance with what the composer wrote.
I stop there!
He is a good example of the freedom that a pianist should have compared to the way we are usually trained. But other debate
