In an attempt to understand early build orders. Can I ask you about your southwestern city? I see you had the first three builds as the other players, but how did you decide on a forge as your fourth build instead of the library?
I'm still trying to get caught-up on reading the spoilers right now, but I assume that you are talking about building a Lighthouse/Granary + some way of expanding your City's borders (Religion, being a Creative Civ, building a Monument, etc).
I would say that I would skip the Monument for a while if I didn't absolutely need the squares in the outer City radius--as with my first-round game, I settled a City to the east of our capital to share its Grassland Pig square. I waited a long time before building a Monument there, so that I could help get out some early Workers from that City using the Grassland Pig + a Grassland Hills Mine (or two such Mines whenever the capital needed its Pig back).
For a Coastal City where its Seafood Resource is in its outer City radius, I'll try and build a Monument first if I don't have a nearby Holy City or a Missionary prepared.
After that, it depends upon the situation. In a normal game (i.e. when we don't have cheap Buildings), where Slavery is enabled, I will likely build a Lighthouse before a Granary, especially if the City is working more than 1 Seafood square as it grows to Size 4.
Here, though, since we can whip at Size 2 (and thus only need to work 1 square at a time), there won't be a case where we will be working 2 Seafood squares before whipping and thus building the Granary first makes sense.
If you had a Civ with one of the Buildings coming at half price but not the other, you'd generally build the cheap one first, only getting an expensive Granary before a cheap Lighthouse in a case where you have 3 land-based squares to work as you grow the City up to Size 4.
As for a Forge--well, I love my Forges. When I have whipping Unhappiness and I also have at least 1 (or like in my game, 2) of the Forge-based Happiness Resources, I'll definitely prioritize whipping a Forge, as doing so will speed up the production of all future buildings while the free Happiness will take care of my Whipping Unhappiness, allowing me to continue to grow.
If you REALLY want Libraries for running Scientists, then I would say: don't bother! What a waste! Why whip away 3 population points? Instead, switch into Caste System and run THREE Scientists with those population points that you would have otherwise whipped away.
I'm not a big fan of running Representation-based Scientists everywhere, since doing so means that you hardly have a chance to get any infrastructure up and all that you have is a tech lead without the production potential to turn it into an army... when you tech ahead of the AIs, you make it easier for them to follow in your tech footsteps and thus they can get caught up faster than if you hadn't teched ahead of them.
I see little value in racing to Liberalism just to grab Nationalism, while at the same time hastening the AIs' tech pace and eventual tech parity (and Military Unit parity). I would say that it would be better if you could do so a bit more slowly, still get there first, yet at the same time, have the infrastructure prepared to be able to leverage your lead into a military advantage. But, that approach is just my opinion and others are free to disagree.
The only major exception that I see is when you want to leverage Liberalism's CIVICS, such as Free Speech for a Cultural Victory. Outside of that niche usage, racing to Liberalism sooner than you need to do so at the cost of having your Cities unprepared infrastructure-wise is a fool's errand, if you ask me.
So... in summary, I don't think that I'd build a Library before a Forge in a Fishing City if I have Metal Casting unless I have a large amount of Commerce in said City or if I need the Library for some other reason (to push back encroaching AI Cultural Borders, to get at least one City running Specialists, etc).
So I finished the pyramids right away, and have already finished the Colossus and am half way through the Great Library.
Sounds pretty good to me!
While I started on The Colossus in my game, too, there is definitely a conflict for resources (population, in this case) between The Pyramids and The Colossus. The first one has you hiring Specialists instead of working squares, while the second one has you working squares instead of hiring Specialists. Since we got a big discount on both Wonders, not to mention an early lead on Metal Casting, I think that we're okay building both of them in this game, as one can argue that one can still work the Seafood Resources for extra Commerce while using said Seafood to hire Specialists.
Still, in a game where you don't have the corresponding Wonder-production-enhancing Resources (Stone and Copper), you might do well to only pick one of those two Wonders and focus your strategy around whichever one that you pick.
I decided to skip the Hanging Gardens.
Since we have an Aqueduct as our Unique Building and since said building is a pretty good one to build, I couldn't help myself in trying to build The Hanging Gardens.
The more Cities that you have, the more that you will benefit.
Consider the scenario where you whip away each free population point that comes from building this Wonder: that's an easy 30 Hammers per City. For a Wonder that costs 300 Hammers, being discounted by Stone and a Forge, it will only cost us 300 / 2.25 = 134 Hammers. 134 / 30 is roughly 4.5. So, as long as I have more than 4.5 Cities, I will actually MAKE Hammers by completing this Wonder. It's one sneaky way of "distributing production" from a high-production City into several smaller Cities that could use additional production (via Slavery whipping).
With 7 Cities (8 Cities in 2 turns), building this Wonder nets me more Hammers than I will spend on building it, plus we'll get the equivalent of a free Health Resource in every City, in addition to the ever-useful Great Engineer Points (future Mining Inc, anyone?). Given these conditions, it is hard NOT to want to chase after this Wonder!