(0)  560AD Looking around. Wow. Our empire has sure grown since my last rule. A city (Lagash, I believe is taken and razed by the Romans). Well, We'll see what we can do about them! Civil disorder in Antium.
(1)  570AD The city of Tarentum is taken by us. It is kept. Order in Antium restored. Troops move towards the Roman territory.
(2)  580AD Fighting on the Roman border continues. Several cities complete swordsmen and bowmen. They are ordered to cntinue the military production.
(3)  590AD The battles continue. One Babylonian swordsman dead. Two Roman Legionaries dead.
(4)  600AD The Romans try to move some settler into our territory. Go to work, slaves!
(5)  610AD Adamantus has completed the Colossus. It starts working on the Hanging gardens. More glorious victories for the Babylonian soldiers. Two Roman bowmen and one two spearmen killed. No losses on our side.
(6)  620AD Kish is taken by the Romans and is destroyed. An elite Legionaire is killed by our Veteran swordsman, who is promoted to Elite immediately. The people like this win and decide to improve the royal palace somewhat.
(7)  630AD :( Persians have completed the Hanging Gardens. They send hordes of horsemen to the Roman territory, however.
(8)  640AD Roman troops move towards Byzantium. But I hope we will be able to defend it. Some of our swordsmen move towards Ravenna. There is a civil disorder in that city.
(9)  650AD Our men once again decide to improve the Royal palace. They probably think we are doing very well in this war. May be, we are, but I fell that we need a source of horses (especially since chivalry is not too far away). Unfortunately, our friends do not have this resource in excess. 
(10) 660AD I feel that we can not continue the war at this moment. So I contact Caesar and we sign a peace treaty. He also gives us two workers, 36 gold, 14 gold/turn, and his world map.
(11) 670AD Pompeii has built a galley. It starts exploring the nearby waters.
(12) 680AD The galley continues exploring. Two settlers are built. They are sent to two locations. One is to the north of Samarra. A Greek settler is heading there, however, so we probably won't get there first. The other location is to the East of Eridu. I also hope to find habitable land on some other island. With time, however, this hope fades, as we all know how fast the other empires can expand their borders.
(13) 690AD Antium builds a galley. Great news! A new herd of horses is found within our borders. Now we will be able to produce knights! As soon as we get chivalry from the Persians, that is. I contact Xerxes and he agrees to give me Chivalry for some gold. That's it, Romans. The mighty Babylonian knights will soon crush you!
(14) 700AD The road towards horses is being built. The galley is exploring.
(15) 710AD Ashur builds a swordsman. It is ordered to build a marketplace.
(16) 720AD The peaceful life continues.
(17) 730AD 
(18) 740AD The city of Lagash is founded to prevent the Greeks from settling too close to us. Seems like they will, any way.
(19) 750AD :( The Americans have completed the Great Lighthouse. The city of Kish is founded.
(20) 760AD The road to the horses is now complete! Production in some (in fact, most) cities is changed to knights. Soon, the Romans will feel our might!
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PS: Sorry, no screenshots today - didn't have a lot of time.