Lots of points were mentioned and I will address those I remember and give some stray thoughts: 
Republic is a nono in AW. We will go monarchy.
Transports: we want the game to be over long before they become available.
With 2 luxuries, 2mp and 40% lux we can have a pop 12 city with all productive citizens. 40% lux may sound a lot, but it will also trigger wltkd in pop 6 cities and reduce corruption and flip risk to the culture-strong AIs. I would have no problem at all to have such a powerhouse. In fact I advovcate it strongly. (Once GLib is done we can build a temple; and monarchy is 3 mp and we can reduce lux).
Nobody yet mentiones catapults. This being AW we should build a lot of them to weaken enemy units and repell ships.
We are scientific, industrious. Great Library is "scientific", Hanging Gardens and Great Wall are industrious and would trigger our Golden Age at the beginning of the Middle Ages: nice boost both for building libraries and units. Another reason for a powerhouse city. If we complete Great Library before monarchy is known, we should pre-build for Hanging Gradens to get content citizens.
If we have horses and iron and there is one or more AI civs without them, we definitely will start an invasion and acquire more luxuries.
Clearing the jungle, especially on coastal tiles and putting defenders on coastal hills and mountains is a must.

Republic is a nono in AW. We will go monarchy.
Transports: we want the game to be over long before they become available.
With 2 luxuries, 2mp and 40% lux we can have a pop 12 city with all productive citizens. 40% lux may sound a lot, but it will also trigger wltkd in pop 6 cities and reduce corruption and flip risk to the culture-strong AIs. I would have no problem at all to have such a powerhouse. In fact I advovcate it strongly. (Once GLib is done we can build a temple; and monarchy is 3 mp and we can reduce lux).
Nobody yet mentiones catapults. This being AW we should build a lot of them to weaken enemy units and repell ships.
We are scientific, industrious. Great Library is "scientific", Hanging Gardens and Great Wall are industrious and would trigger our Golden Age at the beginning of the Middle Ages: nice boost both for building libraries and units. Another reason for a powerhouse city. If we complete Great Library before monarchy is known, we should pre-build for Hanging Gradens to get content citizens.
If we have horses and iron and there is one or more AI civs without them, we definitely will start an invasion and acquire more luxuries.
Clearing the jungle, especially on coastal tiles and putting defenders on coastal hills and mountains is a must.