I declared war on Egypt (the last civ I met, oddly) at around t110 with a combined arms force while teching up to Chivalry. I took Egypt's 3 westernmost cities, leaving them with two poor ones, but the Iroquois completely destroyed them soon after.
A fairly typical love-fest game to begin, I had many RAs and DoFs with everyone but Germany for the first half of the game, declaring on the Germans after taking Thebes to snag a couple cities Biz settled between Russia and Persia (mostly so my military had something to do while my DoF with Hiawatha ran out).
Russia asked for a joint invasion on the Iroquois (who were running away in tech) which I accepted with the ten turn stipulation. I sent the bulk of my forces - now with many Camel Archers - to Thebes, while the force which took the German cities went through Russia and the pass in the north. Russia sniped Hiawatha's northwestern city near the pass after I had wore it down
, so I decided that Catherine was next - and I knew her cap was practically undefended.
After taking the bulk of Hiawatha's cities while waiting for the war deal with Cathy to end, he offered me all but one city in a peace deal (I razed one city). I slowly proceeded to Moscow, encircling it with my now large army and Dowed, taking it and the Iroquois city which was rightfully mine.
I realized at this point that I could have taken it much more quickly with a smaller force and that all the AIs were faring quite poorly in terms of science and military (I saw zero cities that broke 20 pop in the whole game). I said "screw it" and backstabbed my friend Persia, sweeping through their territory quickly and easily.
Diplomacy was out the window at this point, obviously, but I managed to renew a DoF with Rome and he invited me to declare on India, so now armed with Dragoons and Cannons I quickly took Gandhi's cap and (again while waiting for the war agreement to end) three more cities, aiding Rome's advance on the northern city. Germany was next, and they had more units (though only pikes and landsknecht) than any other civ yet, so it took a bit longer.
At this point I was losing units occasionally due to the rush I was in but it didn't matter because I was making so much gold (>700 gpt not in a GA and allied to every CS but one) and such a large military. Happiness wasn't an issue either, was hovering between 15-40 throughout (for the first time ever never dropped below zero happiness!), and it was only at this stage in the game that I began building Colosseums in my cities! By the last turn I was getting 231 happiness from buildings.
I had been amassing units outside of Japan's capital for a while so I Dowed them while I brought my main force north from Germany to Rome. Tokyo was situated in a decently protected spot so going was slow (he also had a fair military) until I discovered Dynamite and then it was game over - both Rome and Tokyo fell within two turns.
From taking Moscow to winning was only 40 turns.