As for the non-Italians, Katrinas is the son of "Pete The Greek" Katrinas, and their ties to LCN go back many, many decades. He is close with Jackie Giacalone, who is the current AB.

Mitchell Karam's ties to the family also goes back many decades, namely with the Lucidos, but also with the Giacalones.

Thomas Mackey is very close with Peter Tocco (capo).

Off the top of my head, I forgot who the Hogans (Windsor) are directly affiliated with.