Ok, first off I must say that we have had extraordinarily bad city specialization so far

We are financial, where are our cottages? I spent a lot of time (while warring) addressing this problem. I have also been making military production centers.
I took printing press from liberalism, saving the GS for chemistry. Qin declared war in 1470 on us

Oh well, his loss...
I bribed Kublai and Genghis to declare on Qin by giving them each liberalism (harmless).
1480AD: Built military academy in Tokyo, planning it to be a military production center.
1530AD: Military academy in Pyongyong, worked to convert it from commerce city to military production center.
After getting chemistry I set research to 0 and traded printing press to everyone for $$$. I upgrade all of our many macemen empire-wide to grenadiers while whipping/building additional grenadiers. Ended up with 40-50 of them.
1560AD: Qin capitulates to us after I took his core cities and Kublai took some marginal ones. I realized after that there was some risk he would capitulate to Kublai, but it worked out for us.
1580AD: Shanghai finally comes out of revolt and I use a saved GS to build an academy there with the goal of it becoming a strong science city.
I prebuild a number of hwachas while researching steel. When steel comes on board I set research to 0 and upgrade over a dozen of them to cannons while building some more cannons. End up with close to 20 of them or so.
1610AD: I declare on Kublai, bribing Genghis with Chemistry (everyone else has it) to join in. Many open-field battles with most of the losses going against Kublai. Finally arrive at Turfan and raze it (1 of 3 core cities). Also raze a marginal city (Kaifeng) that was putting cultural pressure on one of our cities.
1650AD: 3 turns away from razing Kublai's capital. The plan is to raze the capital then Old Sarai and this will have eliminated his 3 core cities. Hopefully he will then be willing to capitulate and we can move on to mopping up this sad continent. I build yet another military academy, this time in Osaka, with the goal of it becoming another strong military production center. Scientific method is due in 2, no one has it yet.
Oh yes, forgot to mention that Asoka was no longer a vassal to Kublai when I declared war on him, so when we go after Asoka it should be easy to vassalize him.
The power graph, which is what I consider to be my strongest contribution to our efforts thusfar:
Save is attached
Cheers,
fh