*Plays smahs bros. again*
Zelda has more physical training as per Sheik, while Peach uses whatever she can. A parasol, Toad, a golf club/tennis racket/frying pan, turnip faces, and her super sleep finisher.
Though I'm all for Peach, Zelda would win, though I'd try every time to prove that wrong.
General Bison and Shang Tsung v.s. Super Majin Buu and Master Hand?