Subtle answer, SC. But the one I was looking for was that Gigante was the only one who wasn't indicted in the famous "Commission" RICO case. And the Persico I meant (admittedly didn't specify) was Carmine, not Allie Boy.

To your question: Anastasia was the only one whose family wasn't named after him. Another possible answer: Joe Columbo was the only one who didn't immediately succeed one of the other guys on your list.

Assuming one of those answers was correct:

Charlie Luciano
Carlo Gambino
Joe Bonanno
Frank Costello
Joe Profaci

Ntra la porta tua lu sangu � sparsu,
E nun me mporta si ce muoru accisu...
E s'iddu muoru e vaju mparadisu
Si nun ce truovo a ttia, mancu ce trasu.