In this episode Jake rents Final Fantasy X (10), but the music (when Jake later plays it on his Playstation2) is from the battle music of Final Fantasy II the origins version that was released for playstation.
In the season 3 premiere, Jake's wants the NEW Final Fantasy. The one he finds in the video store is Final Fantasy 10 (the Greatest Hits version, no less.) which actually came out in 2001, and season 3 premiered in 2005. The most recent Final Fantasy in the show's time line at this point would be X-2, even 11.