As the Bad Wolf, Rose had nearly the full power of the Time Vortex. Rose had vast reality and time warping powers, matter manipulation, invulnerability, and possibly telepathy. She was also able to bring people back to life, and even give people immortality (as with the case of Jack Harkness)
Doctor Who series 1 (season 27):
Doctor Who series 1/2 (season 27/28) mini episode: "Children in Need Special"
Doctor Who series 2 (season 28):