Open class, tentatively going for Domination (this may change).
130 BCE: Polytheism discovered. We enter Medieval time. Score: China 360, Aztecs 319, Scandinavia 292, Rome 290, Zulu 285, Japan 240, Germany 166.
90: Foreign advisor: "The Rampaging Aztec forces have destoryed the Germans."
70: Montezuma extorts literature.
30 CE: Great Library completed in Beijing; Monarchy and Feudalism come in immediately.
50: Revolt.
170: We emerge as a Republic.
270: Monotheism and Engineering from Great Library.
330: Embassy established in Zululand for the specific purpose of estimating military strength. Sneak-attack stack from Zulu approaching, very unsubtle. (Yes, they attacked.)
340: Montezuma declares war after being asked to leave.
370: Bapedi captured from Zululand.
390: 12g from Zulu for peace treaty.
410: Chivalry discovered.
420: 9g from Aztecs for peace.
430: Embassy established in Azteca. Great Library gives Invention.
440: Knights Templar in Beijing.
580: Montezuma declares war (sneak-attack). Golden Age starts (Rider combat victory). Great Library gives Theology.
590: Mass-upgrade, spears to muskets.
610: Chengdu captured by Aztecs.
630: Chengdu retaken.
690: Education from Great Library *sigh*
710: 52g from Azteca for peace. FP completed in Shanghai. Bapedi flips back to Zulu

750: Spices, Horses and 399g to Rome for Chemistry.
770: Leo's Workshop completed in Beijing.
780: Mass upgrade: stone-age Warriors to Medieval Infantry.
790: 870g to Rome for Astronomy.
810: Macao founded. Embassy established in Rome. 279g to Rome for Printing Press.
840: Embassy established in Scandinavia. They're not as strong as I thought.
950: Embassy established in Japan.
970: Spices and 471g to Scandinavia for Banking.
990: Declare war verus Zulu, joining a dogpile. Hlobane taken immediately.
1000: Bapedi captured from Zululand.
1040: Intombe and one Zulu slave taken with no attrition. The slave is promptly rescued by a Zulu longbow unit.
1060: Ngome and two Zulu slaves taken. Bapedi flips back to Zululand. Why can't I hold Bapedi? Gr.
1080: Peace from Zulu for Physics with a stack of riders threatening Zimbawe. (They appear to be doomed anyway.)
1170: Metallurgy discovered.
1190: 9gpt and Furs for Japanese ivory.
1200: Anyang founded.
1220: Horses for Roman world map and 5g; trade world map to everyone who can exchage maps (only Shaka can't), and accept whatever they offer; most offer maps plus a pittance of cash, except Ragnar who offers only a few gold (sold anyway). Zululand is shown to be reduced to three cities.
1265: War redclared versus Zulu. Spices, world map, and 384g to Rome for Navigation.
1305: Tugela captured, Zululand destroyed.
1320: Magnetism discovered; we enter Industrial time. Current score: China 770, Scandinavia 643, Aztecs 641, Rome 614, Japan 574, Zululand (eliminated) 540, Germany (eliminated) 80.
I think I might have missed a tech advance or city founding somewhere in that log.
I must agree with Cool Keith, Riders are an outstandingly excellent unit. I had played China only a couple times and never far into the Medieval era. I was at war against Zulu and Aztecs at the same time and was holding both off even though my military strength was not otherwise as it should have been.
I'm also holding off on revolting to Democracy (I haven't learned it yet, but will probably continue to do so anyway), here for longer than I have for quite a while even when not playing a Religious civilization without confidently intending to revolt to Communism. At this point I'm not certain how long I'll be staying in Republic; it depends on whether I decide to go conquering again, and when.
I'm a little behind in tech, but catching up.
All in all, an excellent game so far.