Hmm, maybe I am not executing right.
I've attached my state at T111.
Here's what I did.
Capital:
- Monument
- Worker, switching to Granary when Pottery finishes
- Finishing the Worker
- Stonehenge
- Library
- Worker
- National College
- Settler
- Water Mill (while Settler walking over)
- Caravan x2
- Oracle attempt (missed by a turn, it was built on t68)
- Writer's Guild
- National Epic
- Garden
- Market
- Workshop
- University
- Circus Maximum (in progress)
Second City:
- Buy a Granary
- Library
- Lighthouse
- University
- Water Mill
- Trireme (for exploration? or did you mean work boat?)
- Shrine
- Colosseum
- Market
- Workshop (in progress)
Social Policies:
- Tradition Opener
- Legalism
- Landed Elite
- Monarchy
- Aristocracy
- Oligarchy
- Patronage Opener
- Philanthropy (then bought Allies with Ragusa for 500g)
Tech:
- Pottery
- Calendar
- Writing
- Philosophy
- Mining
- Animal Husbandry
- Sailing
- Optics
- Bronze Working
- Drama and Poetry
- Beeline Civil Service
- Beeline Education
- Beeline Printing Press
- (Queued) Beeline Astronomy
As you can see, I'm far behind where you are, even at the same turn.
1. You haven't scouted the map enough. Ignore spt, pop, etc, and just look at the minimap for the same turn.
It is really essential to meet many CS asap so that you can plan on what vic you aim for and to get quests. You should have sent 2 scouts to explore (and when you get ruin, you can get nice pop ruins that would jump your cap's pop from like 12 to 13). Also, meeting other civs will let you exchange/sell lux (in this map, your only lux is wine, so it's required to exchanged them for other lux to keep happiness).
2. philanthropy (left 1, right?) is bad, unless you have lots of cash and can get scholarism soon. Which is not the case for this map and civ. I recommend right 1 (it was aesthetics before, don't know what the name is now, but it gives you +20 influence so with protection you get 30 influence for free so you are friends with all CS you met). Of course, to utilize this well you need to scout well and meet CS asap.
3. Astronomy before printing press. First reason is to explore asap: My 2 scouts and 1 trireme did some scouting, but I also got 2 trireme ready before the astronomy (see t92) and upgraded them to caravel and explored. 2nd reason is to get astronomy asap. Observatory is really OP. NC gives 50%, univ gives 33%, and this one gives 50% on top of that. Your pop is 18 16, and mine is 20 18, so pop is not that different. The difference in spt comes from rationalism opener + secularism and observatory.
Usually it's recommended to oxford astronomy so that you can get obs asap and time rationalism opener. You can use +3 sci from oxford from early on (with 133% multiplier and rati opener 10%, this is not a negligible thing) and you can get theme bonus from early on.
4. Lastly, this is not really important, compared to the previous points, but for 1 city NC you shouldn't have problem with happiness early on so you should get aristocracy before monarchy. You can save some turns for NC (which leads to faster tech) and can get oracle.
5. one more: not sure what I did, but for 2nd city it would be better to build lighthouse earlier than library.