There is no other Catholicism. All branches of the Catholic Church are under the headship of the Vicar of Christ, the Pope. This includes the Latin, Byzantine, Coptic, Syriac, Armenian, Maronite and Chaldean Rites of the Roman Catholic Church. Any church that is not under the Pope's authority is not Catholic.
You mean the Greek Orthodox or the Russian Orthodox or the Armenians, or one of the other minority religious groups east of Rome?
That is a historical divide that occurred when the Roman Empire was divided into two countries to make the work of the then two emperors more manageable.
Today, it amounts to some minor differences in dress, beards, rituals, language, and the most important one, whether the Pope of Rome is considered the top leader.
Roman Catholcism is the name given to Catholics, because their leadership is cent red in Rome.
Catholic and Roman Catholic mean the same thing.
Some believe that Anglo Catholic (High Church Anglicanism), Roman Catholic and Eastern Catholic (IE the Orthodox) are three major branches of the same united Church, but this, upon true reflection fails, as John Henry Newman discovered when he decided to study it thoroughly.