The Catholic Church in Libya consists solely of Latin exempt missionary pre-diocesan jurisdictions, so there is no ecclesiastical province as they are all immediately subject to the Holy See and its missionary Roman Congregation Propaganda Fide.
There is no national episcopal conference, but all Libyan sees are members of the Regional Episcopal Conference of North Africa (like those of its host Morocco as well as Algeria, Tunisia and Western Sahara).
There formally is also an Apostolic Nunciature as papal diplomatic representation (embassy-level) in Libya, but it's vested abroad, currently in the Apostolic Nunciature to Malta.
all pre-diocesan and missionary, hence exempt
All Ancient (arch)dioceses faded but were nominally restored as Latin titular sees :
There are no other former jurisdictions without current successor.