The closest thing New York Red Bulls II has to a rivalry in USL is surely its annual tussles with Rochester Rhinos.
In 2015 - NYRB II's inaugural season - the Rhinos were uncommonly good. Rochester lost just once in the regular season that year. Against NYRB II, the Rhinos posted two wins and a scoreless draw in the regular season and bounced the II team from the playoffs, en route to a USL Double (regular season and USL Cup titles).
In 2016, it was the Red Bulls' turn to be uncommonly good.