What is the difference between ancient Syria and Ancient AsSyria?
When people talk about Ancient Syria, they are referring to the Ancient countries that existed where the country of Syria exists now, especially the area near to Damascus and Aleppo (in the west). The most common civilization referred to by Ancient Syria is Aramea, a secondary power in the Middle East that was evenly matched by the two Israelite Kingdoms for hegemony in the Levant, and the origin-country for the Aramaic language.
Assyria, by contrast, was an ancient civilization that was predominantly located in what is today northern Iraq (particularly the lands under Islamic State control as of 2015). Assyria eventually conquered Aramea, but the center of the civilization never shifted away from Ninevah (which is modern Ninewa in northern Iraq).