Looks promising! I've always wanted Akkadians instead of Sumerians (their language became dominant in the region, which says something), but this made me change my mind. Nice
The Akkadians only represent a hundred or so years of history. They pretty much died out with the first Sargonid Dynasty, but the Chaldeans/Amorites continued to speak their language. These are the people that would eventually form the political entities of Babylon and the Assyrians. Though, in Assyrian times, Aramaic gradually began to supplant Akkadian and Ugaritic and Elamite and all those other languages of the people whose tongues were confused (see tower of Babel, Sumerian history makes mentions that seem to be parallel with Biblical texts.)
Also, fun fact: Abra[ha]m, the founder of Judaism, was a Sumerian.
But by far, Sumerian Language was the gold standard of anyone with an IQ. It held the status in Mesopotamia, Anatolia, and what would become Persia that Latin held in Medieval/Renaissance Europe, all the way to the first century AD. That's about 2 millennia after it ceased to be spoken vernacularly.
Also, the Sumerians may very well have had an influence as far as present day Finland. While controversial, Sumerian (currently a language isolate) is beginning to be considered a Uralic language.
Before we can say there were an undeniably Sumerian people, there was a culture we call the Samarra culture. This culture may very well have been pre-Writing Sumerians. This was in North Central Iraq, between Baghdad and Nineveh. We know that there were migrations south... These people became the Sumerians. We also are somewhat certain there were migrations north. Evidence is coming out in favor of the theory that they settled in present-day Serbia, known to us as the Vincha culture.
The Vincha culture made their living off of a trade network, dealing primarily in a type of figurine that the Vincha made. They lasted for a while, but a people came from the Caucasus. These (perhaps horseborne) people spoke the One European Language, the one that would evolve over the ages to become the Greek, Italic, Germanic, Slavic, Gaulish, and Hittite languages. They were a warlike people, scattering the Vincha to the wind. If you look at a map of the Uralic languages, note their dispersal and lack of contiguity in their dispersion.
It could be said that, given all of the above turns out to eventually be fact, that the Sumerians had a great effect on the culture of Europe, and not just Mesopotamia.
Here's a little something for you to chew on, though. I'm planning on eventually making a one-city challenge scenario to show off my civs, focusing on Sumer, Elam, Babylon, Akkad, and Assur fighting to become the dominant force in Mesopotamia; with outside influence from Egypt and Hatti. The Army of Gutium will be included as a gag civ, basically player controlled barbarians gain culture by wrecking the cultural framework of other civs. City-states would be the many city states of Mesopotamia and the Near East, such as Ugarit, Ur, Lagash, Washshukanni (Mitanni,) Dilmun, Magan, and maybe a city-state representing the Indus Valley Civ. if I can squeeze it in. I'll probably go with some sort of victory condition SIMILAR to the steampunk scenario's, but a bit tougher. That's all in the future though. As in, not soon.