Each bishop has a unique role consecrated and appointed too .
As you can see at the top and underneath each bishop names their is a appointment such as Titular, Auxiliary, Co-adjutor etc .
Titular & Auxiliary Bishops: belong to the second class who cannot perform any episcopal function without the authorization of the diocesan bishop; for as titular bishops they have no ordinary jurisdiction.
Diocesan Bishops: have and exercise (de jure) full power of order and jurisdiction, in and over the diocese committed to their exclusive care.
Titular Archbishops: A titular archbishop in various churches is a archbishop who is not in charge of a archdiocese. Therefore, a priest appointed not to head a diocese as its diocesan bishop but to be an titular archbishop, is appointed to a titular see. Many of the titular sees to in that case the person who is appointed to such a position is given the personal title of archbishop (ad personam).
Archbishops: jurisdiction is possessed by the cardinals, officials of the Curia and the congregations of cardinals, the patriarchs, primates, metropolitans, archbishops, the praelati nullius, and prelates with quasi-epsicopal jurisdiction.
Patriarch: All actual jurisdiction in titular sees the patriarch reserves to himself, jurisdiction is possessed by, the patriarchs, primates, metropolitans, archbishops, the praelati nullius, and prelates with quasi-episcopal jurisdiction