And so I'm late to the party.
6th turnset looked good. Kossin's probably right that you could have expanded a little harder (building wealth did seem strange - was that 5th turnset?). Switching Willem into Caste, popping the GM and whipping an offensive force did look very good, though.
7th turnset... I doubt your tech choices.
Now some random babbling. Mostly concerned with tech choices.
Amsterdam is the awesome, shrined, Hindu holy city.
Just like Moscow is the definite National Epic host, Amsterdam is the clear choice (and an excellent one) to build Wall Street.
Wall Street is the hardest national wonder to build and a key to the late game of a large Empire, especially if you want to run corporations (aka the greedy approach with exploding costs). If given the choice, you should want to run corps. Hence Wall Street, hence early capture of Amsterdam, hence Banking > Education.
Researching Theology (???) and Paper did turn you off Banking/Engineering.
Before that, you researched Caste, Civil Service and Music.
Music could have value for trades towards Engineering. It also unlocks Nationalism, which unlocks Constitution, which is an important (and easy to miss) tech. Also got you a great person in the process, so I think Music was a good choice on your part.
What about Theology?
Theology unlocks Paper, which was already unlocked via Civil Service.
It's main benefits are:
- You founded christianity. You probably can control where the AP will be built. But there are 3 religions on your continent. Not the best case scenario since it'd probably be a poor choice to build it yourself.
- Theocracy is unlocked. Somehow Theocracy makes it seem one can war on the cheap thanks to the extra promotion. Warring on the cheap, though, also include running Org Religion and building infrastructure (better!). Or just having better units.
I think Theology's best justification comes as a trade bait (for Machinery?). However, you already had Music for a trade bait. If concerned with the AP, simply being on the most advanced continent is usually enough.
Machinery=Macemen and a prereq to Engineering/Banking.
Macemen are infinitely better than War Elephants for offensive duty. City Raider makes all the difference to reach 90%+ odds.
6th turnset ended with you trading for Metal Casting. I think 7th should have started with Machinery being researched.
Don't forget Trebuchets are your major military target for a "clean war". Later, Cannons if needed.
Also, the gold from your great merchant is limited. You just ran out, Education is not done and you're still warring with small numbers of Catapults / Elephants.
At the point where you run out of gold, it is a much better thing to have banks to whip than universities. It's also a very good thing to have superior military to whip so the advance doesn't have to stop.
-> GM gold should have been timed with you getting Engineering/Banking.
Any research plan at this point (actually from Classical Era) should consider GP use.
Another reason why Theology / Paper wasn't justified is that, at the cost of stalling your military advance, it gave you trade baits and put you closer to Lib.
Music was already a trade bait.
Philosophy is a better lock than Paper. I think both working more diligently towards a Great scientist or self-researching Philosophy would have given better results. Philo bulb would have taken time, so it would be unreliable, but you're already ahead. If you do lose Philo, you can still get Paper.
National Wonders: can't emphazise enough. Is the National Epic done? In progress? What about the HE, do you have a spot?
A good national wonder city pulls the weight of multiple cities. NE done actually means you can consider the Philo bulb with ease.
Wall Street done... Gold value is drastically reduced and the Empire can fully focus on improving research. Note the reverse is not (as) true for Oxford.
Can you show us the Top5 cities/Wonders screen, please?
Aaah... Maybe you should reload into Machinery
Sorry for the messy form of this post. I'm sure I forgot half of what I intended and have been redundant at will.