I've just submitted my first attempt that I started yesterday. 1280AD launch date. No SGLs so I expect that this will be beaten.
I played as Sumeria with five scientific rivals; Germany, Persia, Byzantine, Korea and Greece. I played a peaceful game until the very end when I needed rubber for the Exterior Casing. I was attacked twice before that though.
Korea decided to have a go at me in the Middle Ages, even though I was their supplier of iron. Very strange! (That source of iron later depleted and ended up with Persia

) This meant that I temporarily lost a couple of my science farms but it kicked off my GA. The main trouble with this war was that this broke a trade route and I lost my rep. This made it so much more difficult to trade techs later on, particularly when entering a new age. The good thing about the GA was that I managed to build Shakespeare's Theatre and also gain a bit of a tech lead.
I entered the IA and gifted all the others with me but I didn't have enough cash to buy both Medicine and Steam. I ended up as one of three civs getting Nationalism and so after the first turn of trading we all had the first tier.
The next war I was involved in was close to the end of the IA. The AIs had gone for Flight and I had Mass Production and on the turn I was intending to trade with them (I was three turns from Mot Transport so I knew that I would control entry into Modern Times) when the Byzantines sent a stack of infantry over my border. I rarely use MPPs but this was an exception as they were so cheap. I think that the AI valued my strength highly because I had amassed around 30000gp for trading once we entered the next age.
The war was no problem but it meant that I had one less partner to trade with when gifting them up and I had also lost my supply of rubber, as I was buying it from Theodora before she attacked. Two civs got Computers and the other two got Fission and Ecology. I had enough cash for Fission...
Then I swapped for Computers, got some of my cash back and then bought Ecology.
Losing your rep is such a pain in these games as I couldn't use any of my gpt for tech trades. This meant that I had to ensure that I was taking the AI for every gp they had in every trade during the IA. I guess that this slowed down the research a fair bit.
My free tech was Recycling-not what I had hoped for! I then concentrated on the bottom row whilst the AI helped me out by getting the top row techs.
My UN prebuild was not quite good enough as I had used my capital and Persia went for a vote whilst we were all still at war with the Byzantines. I've don't remember seeing the AI misjudge the vote so badly. I abstained, knowing that my enemy would do the same. I only needed one vote to ensure that Persia didn't win but I was wary of getting too many votes, with all my alliances and MPPs still in place. If I had actually voted for myself, I would had claimed a UN victory.
In the end I had to start a war to gain a supply of rubber. I had one on my doorstep but I was not going to take it from the Persians as I had no tanks and they had mech infantry. I wondered about using my arty nad bombers and then just walking across the border but it was not a secure plan so I got everyone to declare on my first foe, Korea. Persia was suppling them with rubber and I picked it up next turn (with ivory) for 330gpt and converted my ICBM prebuild to Exterior Casing. I launched two turns later.
I'm tempted to play a more aggressive style next time. I really needed a bigger chunk of territory to research more quickly, although I did have enough to get the techs that the AI doesn't tend to concentrate on and that was good enough for this opening bid.