The Holy Roman Empire?

You can easily find a basic history of the Holy Roman Empire on wikipedia. You will see that it did not cover the same territory as the ancient Roman Empire; but its rulers used the term "Roman Empire" because they claimed to be recreating the glory and the orderliness of the earlier empire, and called it "Holy" because they held their authority from the Pope.

In fact the Holy Roman Empire was never a coherent entity like the classical Roman Empire; it was a mishmash of states of all sizes, adhering to widely different laws and often at war with each other. By the 18th century many parts were effectively wholly independent (such as Prussia, Switzerland and the Dutch Republic, for example), and the Habsburg Emperors had actual control only over the lands they had directly inherited from their family. It was the radical Enlightenment French philosopher Voltaire who quipped that although it was called the Holy Roman Empire, it was neither holy, nor Roman, nor an empire. (He said it in French, of course.)

Yes, quite a time in history, right?

Because it was neither religious nor Roman. Most of the kings/emperors were German by birth not Roman or even Italian and most of the land controlled by the emperor wasn't even Italian.

Entirely correct. The heartlands of the HRE were what is now called Germany, but at times it incorporated much of eastern Europe and parts of northern Italy, though never as far south as Rome. The Holy Roman Emperor was often in legal and sometimes physical conflict with the pope in Rome.

It is hard to call it a true empire when it consisted of various ethnic and political and religious groupings which changed from time to time - but you could say the same of most areas of Europe at most times in history!

The Holy Roman Empire was a complex of territories in Central Europe and parts of Western Europe that developed during the Early Middle Ages and continued until its dissolution in 1806. The largest territory of the empire after 962 was the Kingdom of Germany, though it also came to include the Kingdom of Bohemia.

No such thing.