After a marathon final day of CivIII'ing, I managed to barely squeak out a domination win and submit. (And I mean barely ... If I wasn't the last game capable of being accepted, there's only a handfull that came in after mine.)
I've not read the rest of this thread, so I'll just recap the end of my game.
I was just finishing my GA, when I entered the Industrial Age (free Tech was Medicine). I completely owned my continent, and was at war with Rome, and allied with Spain and China against India (Egypt having already been eliminated by an earlier alliance.) I'd disconnected my Saltpeter, and built a lot of pikemen during my GA (going from a total of 10 defensive units, to 60+ during this time.) I reconnected the Saltpeter and started massive upgrades to muskets.
I landed a largish force of Muskets, Sipahi, some Cannons and a couple of Settlers on the Roman Continent. After destroying the adjacent Roman city, I built my city and had a good defensive position. Having some cannons in this initial invasion spot greatly enhances your survivability; they weaken any attackers and soften up piles of the other civs units for your Sipahi (or other offensive unit of yours.) I just sat there, and killed off most of Rome's cavalry and MedInf while I continued my research.
Rome's navy was large, powerful but as is usual with the AI, ineffective. Lots of Roman Frigates (and a few Galeass's) were harassing a city on my SE tip of Tundra. My workers would repair the bombardment damage as quickly as it was done. Meanwhile I was rushing Ironclads in this and adjacent cities. I'd just bombard their ships while my Ironclads stayed in the town. When my Galleons landed my invasion force (about 6 tiles North), the Roman Frigates would steam North; then I'd bring my Galleons back to port, sail my Ironclads out (staying 5 hexes away from the Roman Frigates), and their Navy would sail South. I repeated this yo-yo maneuver several times, getting a good raking bombardment in as my Ironclads went back into port (I'd concentrate on Rome's smallest stack and usually got to actually destroy a Frigate or two on each pass.) Rome once continued North and tried to blockade my one city on their continent; a sustained cannon bombardment sent them off to their home port for repairs. Since I never did any big Galley development (being a land force), the Roman Galleass's never played a big role against me.
Once I researched Replaceable Parts, the invasion picked up steam. (Unfortunately, Rome had researched Nationalism, and had lots of Riflemen; I needed artillery to make my Sipahi last.) By this time Rome's offensive units were pretty much gone, so I had little fear of any counter attack. I'd move a Settler/Infantry stack into Roman Territory; next turn, found the city, use Workers to upgrade the rail-lines, rail my Artillery forward, send a Sipahi scout forward to direct the bombardment, bombard until the defenders were weakened, do a Sipahi rush, capture or raze the city, and move the next Infantry/Settler stack into position. Rome didn't last long after that.
By this time it was Saturday evening. Given enough time I could easily achieve any victory condition. I didn't have much time, so Domination was the goal. I built rail-lines across the Roman continent, rushed some Galleons while moving more around to Rome's Eastern coast, and landed on the smallish island off Rome's eastern coast. With the railroads in place, and 9 Galleons strategically located, I had the potential to move 12 newly built units every turn from my home continent to that island off Rome's East coast. I had another 10 Galleons that transported my invading forces to the 3rd continent, landing in former Egyptian territory.
The situation was easier here. I'd broken Spain out of the alliance with India, and India was taking it to China. Therefore, all of the former Egypt territory and most of China's territory were cities with no culture expansion and lots of Roads. My workers could build Railroad to within striking range without having to Settle a city each turn, and the cities were lightly defended. My offense rolled on. After taking most of the Southern corner of the Continent, I had to declare War on Spain (her cities cut across the continent.) I'd used an explorer to spy out Spain's defenses; she had something like 12 cavalry in Jungle on the Eastern section watching a couple workers clear Jungle. The explorer proved useful in scouting through the Jungle, and I could eliminate a good part of Spain's offensive capability on the first strike.
The clock was ticking; I did one final offensive surge, and took most of the formerly Chinese cities, declaring peace with India. Still no domination announcement. I rushed a bunch of Settlers, and Settled in most open territory, took one more easily takeable Spanish city, and got peace with Spain. Still no domination win.

So I rushed a bunch of Libraries, seeking to gain cultural space. I was using Shift-Enter to speed the turns along, and a gifted Chinese city flipped back to me. On turn 3, I joined a bunch of Settlers and workers back into cities to increase my population. I hit Shift-Enter, and waited while all the cultural expansions took place and ... You Win by Domination!!! (Whew!!)
I'd wanted to do Histographic, but there wasn't enough time for me. I'm very happy to submit; I'll take the Domination win, 1325 AD with Firaxis score 6603.