Well according to Wikipedia , darius was known as "the great" solely because he was a Persian , as opposed to cyrus who was a mede ; but otherwise I would agree with you it was darius who conquered Babylon not cyrus , cyrus' account are half fiction , he probably wasn't killed by a Scythian queen either...
Darius the mede isn't the same as darius I ,king of kings or darius the great.Darius the mede is a biblical figure if i recall.
And cyrus/kurush did die in a battle against the massagatae ,at least thats the most popular version.Other versions include death at the hands of dahae[another scythian tribe] or while putting down a revolt.What we do know was that he didn't die peacefully,otherwise he would have named a succesor and the succession war that followed resulted in the rise of the general cambyses,who later took the name darius I.
Also it was cyrus who conquered babylon.
Cyrus is usually recognized as the world's first great empire builder.He was also famous for abolishing slavery and declaring a human rights proclamation of sorts.He had a strong centralized administration but never interfered directly with conquered areas.His death was mourned all over the empire.
Legacy of cyrus-
Cyrus has been a personal hero to many people, including: Thomas Jefferson, Mohammad Reza Pahlavi, Mahmoud Ahmadinejad and David Ben-Gurion.[76]
In scope and extent his achievements ranked far above that of the Macedonian king,
Alexander who was to demolish the empire in the 320s but fail to provide
any stable alternative.
—Charles Freeman in 'The Greek Achievement'[77]
The achievements of Cyrus the Great throughout antiquity are reflected in the way he is remembered today. His own nation, the Iranians, have regarded him as "The Father", the very title that had been used during the time of Cyrus himself, by the many nations that he conquered, as according to Xenophon:[78]
“ "And those who were subject to him, he treated with esteem and regard, as if they were his own children, while his subjects themselves respected Cyrus as their 'Father' ... What other man but 'Cyrus', after having overturned an empire, ever died with the title of 'The Father' from the people whom he had brought under his power? For it is plain fact that this is a name for one that bestows, rather than for one that takes away!" ”
The Babylonians regarded him as "The Liberator".[79]
The Book of Ezra narrates a story of the first return of exiles in the first year of Cyrus; for this, Cyrus is addressed in the Jewish Tanakh as the "Lord's Messiah". Glorified by Ezra, and by Isaiah, Cyrus is the one to whom "Yahweh, the God of heaven" has given "all the Kingdoms of the earth".[80]
Cyrus was distinguished equally as a statesman and as a soldier. Due in part to the political infrastructure he created, the Achaemenid empire endured long after his death.
The rise of Persia under Cyrus's rule had a profound impact on the course of world history. Iranian philosophy, literature and religion all played dominant roles in world events for the next millennium. Despite the Islamic conquest of Persia in the 7th century CE by the Islamic Caliphate, Persia continued to exercise enormous influence in the Middle East during the Islamic Golden Age, and was particularly instrumental in the growth and expansion of Islam.
Many of the Iranian dynasties following the Achaemenid empire and their kings saw themselves as the heirs to Cyrus the Great and have claimed to continue the line begun by Cyrus.[81][82] However there are different opinions among scholars whether this is also the case for the Sassanid Dynasty.[83]
Alexander the Great was himself infatuated with and admired Cyrus the Great, from an early age reading Xenophon's Cyropaedia, which described Cyrus's heroism in battle and governance and his abilities as a king and a legislator.[84] During his visit to Pasargadae he ordered Aristobulus to decorate the interior of the sepulchral chamber of his tomb.[84]
According to Professor Richard Nelson Frye, Cyrus – whose abilities as conqueror and administrator Frye says are attested by the longevity and vigor of the Achaemenian empire – held an almost mythic role among the Persian people "similar to that of Romulus and Remus in Rome or Moses for the Israelites", with a story that "follows in many details the stories of hero and conquerors from elsewhere in the ancient world".[85] Frye writes, "He became the epitome of the great qualities expected of a ruler in antiquity, and he assumed heroic features as a conqueror who was tolerant and magnanimous as well as brave and daring. His personality as seen by the Greeks influenced them and Alexander the Great, and, as the tradition was transmitted by the Romans, may be considered to influence our thinking even now."[85]
On another account, Professor Patrick Hunt states, "If you are looking at the greatest personages in History who have affected the World, 'Cyrus the Great' is one of the few who deserves that epithet, the one who deserves to be called 'the Great'. The empire over which Cyrus ruled was the largest the Ancient World had ever seen and may be to this day the largest empire ever."
Personally i consider cyrus to be among the great emperors of history.