What cultures did Zoroastrianism influence?

What cultures did Zoroastrianism influence?

Persian

That is hard to say. But, it is possible that it influenced the Jewish culture shortly after the Babylonian captivity. This can be seen in the fact that hell is not original to Judaism, but is a Zoroastianist belief that began to appear in some parts of Jewish thought right about the time the Jews returned to Israel. The popularity of hell never really took off in mainline Judaism, but it did catch on in a later Jewish spin-off called Christianity, and eventually Islam. God Bless! +?+

Indian, Bactrian, Greek in that there was a fusion between Greek and Persian culture after Alexander conquered the Persian empire and Hellenism was born. Romans, Mithra, the Roman soldier's god was originally Persian. And most of all apocryphal Hebrew religious literature and then Christianity. This is evident in the nature of the Stories and fables about Satan.

During the exile in Babylon and under the influence of the Persians, popular religion took on a dualistic nature, although it was never accepted by orthodox Judaism. Satan became god's adversary rather than the servant of god, which he had been up until then. This can be seen in the Dead Sea Scrolls as the war between the children of light and the children of darkness. This is a direct borrowing from the dualistic nature of Zoroastrianism, though to keep it strictly monotheistic they make Satan a rebellious angel.

It also indirectly affected western Christianity through the Manichean influences of Augustine and his ideas of the corrupt nature of the flesh and the idea of original sin which mirrors the Persian concept of a corrupt material world and a pure spiritual world.