I've finished GOTM #3. My story:
I settle in the start position. The first three warriors explore, one SE (a waste of time), one north and then following the coast, one SW. I meet the Japanese but leave them alone till I've built up a bit. The land near home doesn't look promising. I decide to put the first settler beside a lonely flood plain tile.
I meet the Persians. There are lots of goody huts on this map! Far to the NW of Beijing my warrior gets a settler from a hut. I settle near there, hoping the new city will at least be a nuisance to the other civs. Another warrior gets Iron Working from a hut and it turns out there's lots of iron on the map. I colonize one near Beijing and shift production to Swordsmen. In the meantime I've brought a few units together and I attack the Japanese with them, taking two cities and then giving them peace for a third city.
Soon after (roughly 1000BC) I march on the Japanese again, wipe them out and they respawn. Next the Persians. I wait a bit because their cities are all size one. I'd rather capture than raze at this stage. They don't grow and eventually I just hit two of their cities. For peace I get their maps (they know the French, which is helpful) and one more city. I see that we're on a large continent - domination might or might not be possible without leaving it. I shift part of production to settlers, planning to dominate this continent asap.
Next I get horses so I switch to producing Horsemen. And I send my many Swordsmen to visit the Babylonians. I get a Great Leader from that and use him for Forbidden Palace in the ex-Japanese territory.
I leave a bit of the Babylonians and Persians, and the respawned Japanese, for later. They're all off-route and no threat now. It is time to march on the French who have grown to a considerable size.
The war with the French takes a long time. I do it in a few stages - take some cities, get something for peace, and repeat. During this long war I get two more Great Leaders. One goes to Pyramids, one to Great Lighthouse.
After finishing the French I clean out the Persian and Babylonian remnants. During the later part of the war with the French I started sending galleys to explore. They discover nothing useful by the end of the wars. I shift to settling and building some more horsemen in preparation for finding the next civ.
Soon after the end of the wars I discover the other continent. I trade for contacts and maps, without giving my maps away. The other continent seems to be roughly 1/2 the size of mine. I don't know yet whether taking all of my continent will trigger domination. I focus on expanding on this continent until I get Chivalry, deferring the decision of whether to continue expanding or to go to war until then.
I get Chivalry and discover much to my chagrin that Horsemen can't be upgraded to Riders! At this point I'd happily not have a special unit and just upgrade to Knights. Sigh. That's it, my ready-to-go Horsemen are useless. (Not really of course but they aren't nearly what I though they'd be!) So I'll go for expansion instead of conquest. I'll start by finishing this continent, if that triggers a win it is still early enough for that to be a not bad score. If it doesn't trigger a win then I'll go for 2050 and try to work out how much additional land I can take safely.
I discover Navigation, but can't trade luxuries with the other Civs! Weird, do they not have any harbors? They've been fighting and there's land available there, so I send a settler over. I'll gamble on taking one tiny bit more land, build a harbor, and then be able to trade.
On the same turn that I land my settler I see the English raze a coastal Indian city at the south, which had spices right beside it. It would take 8 turns to sail there. I put the settler back on the boat and go for it. (I send a new settler from home to the original spot at the same time in case.) The settler makes it in time and claims the spices. I now have 6 luxuries without needing to trade!
I wish I knew how much land I could take to increase score without triggering domination victory. I learn (thanks Aeson!) that the domination rule is quite awkward. I decide to stick with the land I have and just improve it as much as possible. I'll also leave the other Civs alone instead of razing them, to focus on improvements.
Many turns later I'm regretting that last decision. The English keep jacking up what they want in trade for luxuries. They badly want tech but I won't part with it - I don't want them getting strong and I don't want a spacerace.
In the early 1900s the English wipe out the Indians. I'd been planning a culture victory but it wasn't looking good, the English were already getting too much culture. This is the final straw. I'm fed up with the English demands in trades so I'll raze them, take the luxuries, and go for conquest.
My war with the English hits a bug in the program. I'd given up on finding a way to finish the conquest when Dirty Clint (thank you Dirty Clint!) suggested a work-around which did the trick. (Go into Anarchy to avoid the crash.) Around 1970, the English are down to one last city which is neatly boxed in, they will not be going anywhere else again.
Since lots of workers (at least 100 I think) came over to my side in this last war, I put them to use cleaning up the continent. The English won't be needing this land anymore and it is a dreadful mess of flatlands and paving. The workers quickly transform it into a big wildlife preserve. Then they get on the boats to join the homeland, to replace the population lost there due to starvation during the war.
Barbarian camps pop up at an amazing rate in the wildlife preserve! It is amusing how they mindlessly attack my high-tech park rangers (Modern Armor) with their clubs. I post enough rangers around the preserve to keep them in check. (An interesting discovery: camps can pop up right under the nose of a worker. But not one ever popped up in "sight" of a fighting unit.)
In 2049 I tire of the English's incessant whining and wipe their last city off the map!
That should have been the end of the story, but playing the last turn out hits the crash bug again! Oh well, reload the save game I thought I was submitting, go into Anarchy first, and try again. Yup, that does the trick. So my submitted save game is a bit odd in that it is been put into anarchy in 2049, to avoid the crash bug.