A tourist from outside Europe is faced with such a wealth of choices that the best advice would be to concentrate only on some feature on each visit, to learn from thousands of years of culture, without yielding to the temptation of seeing "everything" within a couple of weeks.
The Western culture that had its origin in ancient Greece, and spread all over Europe and the Mediterranean following the conquest of the Roman Empire first and then the growth of Christianity, gave rise to the splendid revival of art and science of the Renaissance, democracy, the Industrial Revolution, which were all exported to the remotest areas of the world through geographical discoveries, colonization and emigration. The "Old Europe" influenced extra-European lands so much so that European-style realities were recreated in innumerable places all over the world.