Not exactly Godfather but the only one that comes closest is from Family Guy in the episode "There's Something About Paulie" and Peter says: "You're thinking about the mob from the movies!"

Then it cuts to the scene from Goodfellas, and Tommy is going "How'm I funny?"

But they change it a bit and it goes:

"How'm I funny?"
"I dunno, you say funny things!"
"Nonono, what? Am I like, George (?) Collin funny, Spin City funny, Rita Rudner funny? C'mon, tell me."
"...Rita Rudner funny."
"oh really? Thank you!"

Besides, the episode is basically about Peter getting involved with the mob, so the Don and a bunch of other guys are in it too. The Don is probably an exact ripoff from Godfather.