For me, my favorite Star Wars video game was SW: Knights of the Old Republic.
To be sure, I liked both SWKOTOR and SWKOTOR II.
The whole Reven storyline was so cool - good guy? Bad guy? You decide.
Now to be sure, I like RPGs, and a good story based game. Some of my favorite games are not necessarily the most brilliant technologically - but have an engaging story to go along with game play (I am looking at the games like first Prince of Persia reboot (great story!) or Dragon Quest VIII - which had a great story, and such memorable and awesome characters).
Don't get me wrong - I like First Person Shooters, and loved BattleFront - especially the space combat - but nothing sits so sentimentally secure in my wistful memories as playing SWKOTOR for the first time.
Yes - I didn't care for having to start each game a wimp who didn't have a light saber for some reason - but I can over look that.
And yes, I've played SWTOR online, but frankly, and maxed out a few characters on either side of the force, but haven't played in over a year, and don't really feel any desire to return to it.
Force unleashed promised so much, but delivered so little. Played it. It was forgettable.
I did like open feel of Jedi Academy and the like, (I can jump really high!) - and the stories were good, but the games weren't big enough - not epic enough - for me.
Nope - for me it was Knights of the Old Republic - that's my favorite Star Wars Video game.