PSA- if you haven't tried it yet, it's quite fun to wonder-whore as America in the early game. You can pretty reliably get Stonehenge AND Pyramids on Deity to start, followed by either Mausoleum or Artemis (I only managed to get both in 1 play through) and often finishing with Hanging Garden (or presumably Roman Forum if you wish). You also have a very good shot at getting the very first religion via Goddess of Beauty (likely founding around T80 or so).
It helps if your start has luxuries that innately give gold right from the beginning or if you have some decent production tiles. I never had a start that was both gold and production poor but I imagine this strategy would be difficult in that case.
The sequence I used was this:
T0 - research the wheel (for Stonehenge) and build a monument
T11ish - The Wheel will finish and as soon as monument finishes start on Stonehenge. Start researching Mining to unlock Pyramids. You want to finish building Stonehenge in the following 11 turns or so that it takes to research Mining and you do this by spending gold buying tiles- the cheapest tiles first. Every tile gives you 20 production at a time when your total city production is probably ~8 or so? You can likely buy ~5 tiles while building it which should be enough for the timing to work out.
Also, your monument should give you your first policy- unlock Tradition and put those 2 new citizens to work giving you more production and/or gold.
T22ish - Stonehenge finishes well before any AI would typically build it giving you the likely first pantheon (other than a few civs like India, of course). Go with Goddess of Beauty as your pantheon. Mining should also have finished by now so that you can start on Pyramids.
Your goal now is to speed build Pyramids by ~T35 or so at the latest. I haven't seen the AI build it before then on Deity- typically it's more like T39 or T40 from what I've seen.
For your next tech you need to decide if Artemis (with a free Herbalist) or Mausoleum (with a free Stone Works) is more attractive. Whichever it is, start teching for it. I'd suggest settling your 2nd city from Pyramids directly on a lux in order to sell it for GPT.
When you get your 2nd policy go with Justice. The Engineering points from Beauty, Stonehenge, Pyramids, and working the Engineering slot will all contribute to get you your first Great Engineer super early. You won't need the +3 faith from opening Sovereignty first- Goddess of Beauty will easily get you your religion.
Also, you should have a small window at this point to build a worker and/or a warrior or two. A worker that can connect a lux (that you can turn around and sell) is really nice- that extra GPT means more tile buying and more crazy early production.
T40ish - You should be able to start working on Mausoleum or Artemis. Your Great Engineer may be born while working on it- you can decide if you think it's necessary to bulb him to guarantee the wonder or not- might depend on how rich you are. I was able to be greedy in one play through and was rich enough to buy tiles for Artemis and then use the GE on Mausoleum.
After deciding on Artemis/Mausoleum you should be able to tech Pottery before going all the way to Mathematics for Hanging Garden or Roman Forum. Buying tiles to speed build settlers is also a nice way to minimize those lost turns of growth.
T??? - By the time you unlock Mathematics you might only have a few inexpensive tiles left to buy in order to rush build Hanging Garden or Roman Forum but I've found that they are still usually obtainable.
Also, with 3+ wonders under your belt and a great Artist likely on the way you should found by T80 or so.
It helps if your start has luxuries that innately give gold right from the beginning or if you have some decent production tiles. I never had a start that was both gold and production poor but I imagine this strategy would be difficult in that case.
The sequence I used was this:
T0 - research the wheel (for Stonehenge) and build a monument
T11ish - The Wheel will finish and as soon as monument finishes start on Stonehenge. Start researching Mining to unlock Pyramids. You want to finish building Stonehenge in the following 11 turns or so that it takes to research Mining and you do this by spending gold buying tiles- the cheapest tiles first. Every tile gives you 20 production at a time when your total city production is probably ~8 or so? You can likely buy ~5 tiles while building it which should be enough for the timing to work out.
Also, your monument should give you your first policy- unlock Tradition and put those 2 new citizens to work giving you more production and/or gold.
T22ish - Stonehenge finishes well before any AI would typically build it giving you the likely first pantheon (other than a few civs like India, of course). Go with Goddess of Beauty as your pantheon. Mining should also have finished by now so that you can start on Pyramids.
Your goal now is to speed build Pyramids by ~T35 or so at the latest. I haven't seen the AI build it before then on Deity- typically it's more like T39 or T40 from what I've seen.
For your next tech you need to decide if Artemis (with a free Herbalist) or Mausoleum (with a free Stone Works) is more attractive. Whichever it is, start teching for it. I'd suggest settling your 2nd city from Pyramids directly on a lux in order to sell it for GPT.
When you get your 2nd policy go with Justice. The Engineering points from Beauty, Stonehenge, Pyramids, and working the Engineering slot will all contribute to get you your first Great Engineer super early. You won't need the +3 faith from opening Sovereignty first- Goddess of Beauty will easily get you your religion.
Also, you should have a small window at this point to build a worker and/or a warrior or two. A worker that can connect a lux (that you can turn around and sell) is really nice- that extra GPT means more tile buying and more crazy early production.
T40ish - You should be able to start working on Mausoleum or Artemis. Your Great Engineer may be born while working on it- you can decide if you think it's necessary to bulb him to guarantee the wonder or not- might depend on how rich you are. I was able to be greedy in one play through and was rich enough to buy tiles for Artemis and then use the GE on Mausoleum.
After deciding on Artemis/Mausoleum you should be able to tech Pottery before going all the way to Mathematics for Hanging Garden or Roman Forum. Buying tiles to speed build settlers is also a nice way to minimize those lost turns of growth.
T??? - By the time you unlock Mathematics you might only have a few inexpensive tiles left to buy in order to rush build Hanging Garden or Roman Forum but I've found that they are still usually obtainable.
Also, with 3+ wonders under your belt and a great Artist likely on the way you should found by T80 or so.