Interesting Mesix!
Are you suggesting to only go with one city?
I understand that it is situational and if you don't have close neighbors you will have to ICS in some fashion.
The games that players have posted show a different method.
They seem to hard build around 4 cities.
They seem to use chops to get fast settlers while they War it up.
I honestly do not have a problem with overrunning the AI.
I don't have a problem with rapid expansion.
I constantly run into problems with balance.
I can have a large Horse Army but I might run into Dark Age problems or Gold Problems.
I can't seem to get Knights up on or around the same turn time.
It varies kinda too much and wild for me.
If I do get Knights up around turn 75 I don't seem to be able to fund them.
I am guessing my Tech Order and Build Orders are causing me problems.
I had two games recently where I won but after turn 250.
One game I fell into the early Dark Age so I couldn't hold Japans cities because Civs were all clumped together causing too much Loyalty Issues.
I held his capital but had to raze 3 other cities. So at turn 65 I only had 3 cities. I only built Army from the Capital.
I had a large Army but not really close to Knights. Most likely get them around turn 85 to 95.
Another game I ran into a Horse Barb rush that took over 20 turns from my early game.
This slowed me down along with many mountains and hard terrain that made it go slower.
It didn't help that I only had One Army.
I need to get better at having Two Armies with Two Fronts.
Regardless of victory, I like to clear my continent in the early part of the game. To do this, I build up an invasion force in my capital and rush the nearest neighbor in the ancient era and the second (and perhaps also third) in the classical era.
My typical build order:
Scout x2 (or x3 depending on production of start and how big the area looks to explore)
Slingers x4
Warrior or Spearman (depending on if I have bronze working)
District (Holy Site or Campus depending on how the start of the game is shaping up)
Varies after this (perhaps a 2nd district, a building, walls, or an early wonder)
I almost never build a monument in my capital, and I wait to build the granary (and perhaps the water mill) until my army and first couple of districts are up.
I purchase one worker, and if I clear enough barbarian camps I may also purchase a settler for a 2nd city. Generally, I need the cash to upgrade the slingers to archers, so I do not build a 2nd city in the early game very often.
Research Order:
The three infrastructure techs are almost always first. As there are no eureka opportunities for these three techs, I will research them while hunting barbarians and exploring the map for the early eureka boosts to other techs.
Either Writing or Astrology (depending on which district I want to build)
Archery
Bronze Working
Civics Order:
The order of early civics is not as crucial. I mainly want to reach Political Philosophy as quickly as I can to unlock governments. I usually go for Oligarchy as my first government.
Depending on how close they are and how many units you need to kill, the first AI can be taken with slingers or archers. If I see a settler, I will DoW immediately so that I can capture the settler. If not, I will get my units into position first.
By the time I roll the first civ (probably still ancient era), I upgrade my units, heal, and move on to the 2nd civ. This may result in a combination of Swordsmen and either Archers or Crossbowmen depending on how the early game has developed.
In R&F, once I have finished this early warring period, I generally have a golden age for either the classical or medieval eras and I am enjoying the space on my own continent. With the golden age, I can buy settlers, workers, and traders with faith (and cheap as well), so it is not really necessary to build settlers at all. I can save the chopping for districts and wonders in the medieval and later eras.
By the start of the Renaissance Era, I have generally filled out my initial continent and I am ready to spread overseas (or perhaps not) depending on what type of victory I am going for.
The biggest benefit to this method is the flexibility with diplomacy. By DoW early, you avoid the war mongering and diplomacy hits that occur when wiping out civs in later eras. The early wars are very quick, and by the time you discover the other civs across the ocean, they are happy to meet you. If you are going for a science or culture VC, you are free to develop international trade and alliances. If you are going for a domination, you can continue to build up your military (especially the navy which is lacking in the early game) and plan to take their capitals once you have explored the rest of the map.