I'd, personally, like to start out not as a PC to create, but rather have a choice to play as Bastila Shan or her apprentice.. Start out her searching for Revan, going to several planets. Off and on, you and Bastila get separated and you chose who to play as. You can get other companions and do the same, with either person. Just like Female and Male choices, because the females get Bastila and the Males get a random Jedi.
EDIT:: This made my post count 666... geezus..