I love Savage Worlds, but I don't know if it's my "Godfather" RPG. After 7+ years of running and playing Savage Worlds 95% of the time, I was actually ready for a change.
I will say, it is by far the best of the more "traditional" RPGs I've ever played. More than any other system, it gave me the play experience I had always hoped for but had never been able to get out of BECMI and 3.5.
To me, when done right, Savage Worlds "feels" the way a good game of BECMI between levels 2-7 should feel---fast, free-wheeling, adventurous, yet the PCs never lose their fear of mortality. Combat death is always a threat, even at higher experience levels. On top of that, the system is significantly more flexible and consistent than BECMI, and the fact that it easily transitions between settings/genres is a tremendous benefit as well.
However, if I were to ever actually have a "Godfather" RPG, it would be Burning Wheel. I've never played it, and will probably never be able to convince my group to try it (even if I did, I don't think it suits at least 2 of the 5 group members' personalities). But reading through the rules, it gives a very clear sense of the kind of play it aspires to, and man does it resonate with me.
If I ever found a group that really grasped and connected with what Burning Wheel is trying to do, I'm pretty sure it would be my ultimate RPG.
**Edit: The other system I've stumbled across recently that I could find myself deeply falling in love with is Spellbound Kingdoms. Now saving my pennies to invest in the PDF + print on demand from DriveThruRPG.