I loved both as a kid but looking at them now I'd say TSR is funnier and also aged better.
It also had more impact.
Quote:
Originally posted by Wikipedia
That's So Raven was responsible for many firsts for Disney Channel: the series was the highest-rated series in the history of Disney Channel and the first series to garner more than three-million viewers; the third longest-running original series in Disney Channel history, the first Disney Channel series to reach 100 episodes, the first Disney Channel series to produce a spinoff (Cory in the House) and one of the first three live action original series, where the lead and most of the supporting main characters are minorities (The Famous Jett Jackson and Cory in the House being the others).
In addition, it was also the first Disney Channel sitcom to be shot on videotape, to use a multi-camera format, to be shot in front of a studio audience or use a laugh track,[citation needed] and to use the simulated film look created by FilmLook, Inc. (all of which has become standard on all Disney Channel comedies, though a 'filmized' appearance was given to all of the channel's videotaped sitcoms produced from 2009 onward, as the live-action Disney Channel Original Series begin being produced in high definition)
LM is still good for a nostalgia kick here and there though.