0. 1550 First, of all, I've never seen such a large stack of knights and janissaries.

Whoever made this happen, kudos.
Second, I thought we had agreed on the necessity of colonizing America (specifically, New Orleans). So I switch to Astronomy (6 turns) and start a settler in Athens. (Thankfully the French have no seaports now, otherwise they would have sent lots of settlers abroad already). By the time these are done, we will have mopped up (so to speak) the remnants of Dutch/Roman/French resistance.
Third, people have been forgetting to sell maps. I sold our map for close to 600 bucks.
Fourth, Blizzrd had a good point about not bundling workers together. BurnEmUp, you had some idle workers who could have worked that turn but couldn't because they were tied up from the previous improvement. So I'm going to unbundle them.
Fifth, from my experience, Netherlands will eventually collapse if they stay in Mali (which is their capital). So I make peace with them, getting Mediolanum in the process without fighting.
Sixth, it may be the case that England was cheaper (for a certain tech), but after we vassalize the Germans, they are going to be much cheaper for techs. So I switch espionage to them.
Now that Russia is annoyed at us, we should seriously consider doing a preemptive strike...
1. 1555 We're unstable! I decide to liberate Berlin to Germany (it was that or Mediolanum, and I think we can use the Parthenon for a while until SC. We have to declare war on France since its culture will envelop the iron, and will make them much harder to kill. This has the added benefit of opening borders with Spain.
2. 1560 Our troops advance on Paris, which is protected by some mercenaries and longbows (no cannon). I also sent a stack towards Rome (because its culture is going to be problematic for Mediolanum).
3. 1565 Sigh, another great artist born in Bogazkoy. I ice him for a golden age. Sure enough, the Dutch collapse (which brings me to another point--it's liable to respawn in the future, so we should not have given Amsterdam away because we can control our stability, not Germany.)
4. 1570 We are shaky. Bombardment continues.
5. 1575 Rome is captured. I decide to keep it since it's Jewish and it's got 3 settled great people. Pompeii should be razed or disbanded. I kill all of Paris' defenders except for 5 (so that Spain can't capture it themselves).
6. 1580 Spain makes peace with France without vassalization?! So we go ahead and capture Paris. We're still stable for now, but Paris needs to be liberated to Germany if possible. Some indy triremes are blocking Sparta again, so I whip a caravel to kill them.
7. 1585 Lyon is razed with the loss of 2 cannon and 1 knight. (it's kinda hard to not lose units attacking a hill city). Pompeii is razed with no losses. I decide not to liberate Paris to Germany since it's got lots of room to expand, and if Burdeos is razed, it can grow to a big size. It also has 2 settled great generals. I notice Spain doesn't have calendar yet, so if we kill them now, we can be sure of no cities in South America, and we may not even need Inca after all!

A great scientist is born in Sparta, we just need one more great person for another 8 turns of GA.
8. 1590 Resting our troops and building lots of jails right now. England and Spain cancel some trades (fine by me). I sign a defensive pact with the Vikings, knowing that Russia will eventually declare war on them, and right now we can't go invade Scandinavia (yet). We're at -10 for stability.
9. 1595 Taj Mahal finishes! I send our settler towards New Orleans. Japan asks us to declare war on Khmer, not at this time.
10. 1600 Replacement parts in. We're declared the most cultural people on earth, a bare 300 years after we spawn.

I notice liberalism isn't done yet but we're too late (Japan has both Philosophy and Education). Our infrastructure is almost finished, so I choose Education (to be able to build universities). England builds Forbidden Palace. Turkish revolt in Dalmun.
All our cities have Judaism. I build a couple other monasteries so that when we switch (IF we switch) to free religion we can make use of them.
To do:
1. Collapse Spain before they get Astronomy--I leave this in the expert hands of blizzrd

.
2. Build New Orleans and Chicago at the very least. We need to prepare for the Americans actively (at this time we can even choose to squash them like the Romans did with all our cannon, and we might even get to assembly line before they spawn.).
3. What I can see of the Russians is not too many troops, but sometimes they hide a stack behind what we can see, so I would still turtle on for now.
4. We can build the Opera House, the best place would be Paris (we don't want to whip our capital if we don't have to), but by the time it's built we may have to switch to emancipation). Akkerman is also a good place to combat Russian culture and whip troops if necessary.
5. We need the Statue of Liberty in Asia, not Europe (which doesn't need the extra help). Bogazkoy would be a good site to build it.
6. Bogazkoy is 5 turns from another great person. I set an engineer and priest to work, hoping we won't get another great artist. (It does need to grow so after the great person please set it back to no specialists).
7. Keep selling maps! (I have a caravel going towards the mouth of the Mediterranean and there's still a lot of the southern seas not explored yet)