Cathedrals are nearly the same. I don't build them, except in a few special cases. They cost too many shields and maint and I am not interested in culture as I will never match the AI anyway.
He plays this on Regent, not Sid or Deity. Cathedrals can work well for builders. In fact, if you bulid enough of them you can eventually keep up in culture *even on Deity*. You can find some evidence of this from my "Deity Builder" game... the relevant screeshot you'll find here
http://forums.civfanatics.com/attachment.php?attachmentid=182991&d=1216086497 This surprised even me. In most cases I'd rather have a marketplace than a cathedral for sure, but cathedrals have their uses. Coloseuums less so... but anything that gives you happiness *can* have its uses in a long war in a Republic.
Regarding courthouses I could you some examples of how they can give you great benefits (such as my "Deity Builder" game). But, I'll just quote Charis
"What if you could build a factory in your best expansion cities in the ancient era? Would you build one? Hmmm, to expensive, not a good value? What if this 'factory' also increased revenue *100%*. Still not convinced? What if I throw in a "Solar Plant" for FREE?! Ready to buy? Wait!! There's more!! This magnficent factory- plant-economic center is yours for just... 80 shields!! Order TODAY and we'll throw in protection vs propaganda at no extra charge!
Such a ridiculous building doesn't exist you say? Think again! It's called a... Courhouse. Ok, not in every city, but in a large number of your cities, the courthouse (and police station) can work just as described -- let's look at an example. You're doing fairly well and have a small but growing empire. You now have a half-dozen or dozen cities which are 12-24 squares away from the capital. Let's look at one 16 squares away. You find about 66% corruption, losing 14 of 20 coins, and just over 50% waste, losing 8 of 14 possible shields. Add a courthouse and the loss becomes 7 of 20 coins and 5 of 14 shields. Your revenue increases from 6 to 13, over a 100% increase, and shield output from 6 to 9, a solid 50% increase. This is the equivalent of a marketplace, bank, and factory *combined*. And the shield increase will help you build each of those quicker! No solar plant? You're feeling cheated?? Go out to 18 or 19 squares away where you're losing 11 of 14 shields. The courthouse reduces loss to 7 of 14 shields, bringing output up from 3 to 7. That's huge! Roughly speaking, the courhouse seems to reduce corruption (revenue) by about 50%, and the waste (shields) by 33%. A police station on top of that cuts corruption by about 67% and waste by 50%.
So the question becomes not, "Should I build a Courthouse?" but rather "Should I ever NOT build it??!" That answer too is yes, sometimes:
i) If your commerce loss is 2 coins, building a courthouse pays for itself. So even with low corruption, it's not 'wrong' to build. But you may have higher priorities. This very low corruption will only occur within a distance of about 2 city radii.
ii) If the city is "desolate", building a courthouse or police will have no effect. In fact, it will COST you by adding to the maintenace cost with zero benefit. The problem is, you can't tell before you build it if the city is desolate or just 'corrupt' (able to be helped by a courthouse, vs hopeless) Again, I hope to have more numbers later, but for now suggest that you count the distance to your palace or forbiden city (whichever is closer). On a standard map it it's 20+ away, it would have to be a size 12 city and have a police station as well as courthouse to see any benefit whatsoever. Above 25 squares, forget it.
I would be remiss if I didn't point out that until playing succession games and seeing others build courthouses, I was not a big fan. Even then, after some gentle prodding by Sirian (Thanks!), it took a while for the 'lightbulb' to come on. When I did the math, that lightbulb became a shining beacon of radiant energy."
http://realmsbeyond.net/civ/mmguide.html
I understand that all players are continually hammered over the head that you need to expand as rapidly as possible, get those settlers out continuously, forget that most of your cities have ONE population and are taking forever to produce anything.
If you played the epic game on or above Demi-God I doubt you would view this as "hammering over the head". Please note that timerover51 usually mods the game significantly, so his advice has less *relevance* than it might seem in some spots.