The argument of the greatest movie trilogy of all time has no end. In fact, here at JONJ Headquarters we've beaten it to death ad nauseam.
The usual candidates are: Godfather, Star Wars (the originals, duh), Indiana Jones (the first three, duh), Back to the Future, Karate Kid, and Lord of the Rings.
And since we're not gonna settle the greatest trilogy argument, so let's figure out what the Jewiest trilogy is.
Godfather: James Caan, Jewish characters (Moe Greene, Hyman Roth)...
Star Wars: Harrison Ford, Carrie Fisher, Frank Oz, Watto...
Indiana Jones: Ford (again!), Steven Spielberg, Kate Capshaw...
Back to the Future: Spielberg (again!), Michael J. Fox (not Jewish, but raises his kids as such), Einstein the sheepdog...
Lord of the Rings: Ummmmm... ummmmm... we got nothing. Unless you want to count the Dwarves or Hobbits as Jewish, as some suggest, but we'd rather not. No, the closest thing those movies have to a Jew is Sean Astin, who discovered that his biological father was Michael Tell, publisher of The Las Vegas Israelite newspaper.
So your answer is... unresolved between Star Wars and Indiana Jones.
Just like in our greatest discussion.