No, there are zero. They are movies not an RPG game. If it was an RPG game why couldn't Obi-Wan Kenobi be a PC? PCs do die in campaigns. They also can have complex histories and train other PCs. Vader and the Emperor is the only one I would say can't be a PC because they are the bad guys. Yoda would be a great PC. Sure he doesn't get as much screen time and interact with all the other characters but it would be a fun character to play for a short while.
You're welcome to any preferences you like for your game. I was merely pointing out that the OP was not speaking for everyone and that I, for one, am happy to see the Jedi on the back burner for a while. The fact that you feel differently isn't going to change that.

Edge of the Empire also brings in it seems plenty of Expanded Universe options. Aren't there other Jedi during that time introduced?
Haven't the foggiest. I haven't read any of those books; just seen the movies. If they have lots of Jedi Drizz'ts running round waving purple and yellow lightsabers, then I guess I wouldn't like 'em too much.
It always seemed very silly to me to think that every Jedi was successfully hunted down and killed.
Whereas I find it not silly at all, and like that very much. It makes Luke mean something. Like I said, the OP doesn't speak for everyone; some folks, like myself, like this approach.