The Italo-Greek Albanian Byzantine Catholic Rite

Yes, we do so have one of those. And if you're in Long Island, NY this Sunday you can attend their liturgy. They are the descendants of 15th century Albanian Christians who resisted the Turkish Mahometan invaders. In the end, they were unsuccessful and many fled to Italy where they maintained their Byzantine Rite. There is a page on their local New York community here and on the Sunday liturgy in Long Island here. They have a parish in Las Vegas, too, which used to have a website but it seems to have gone missing.