There didn't seem to be enough good land in the initial position for my liking. Also, I figured the neighbors would be a problem eventually, so I decided to take them out ASAP, especially since the Greeks get two early units. I went for Liberty for the quick start. However I'm not convinced that it's worth it compared to Tradition, unless you're planning to ICS. I actually ended up with more workers than I needed (captured from barbarians), and an extra settler because happiness became a problem more quickly than I expected - not many city sites with luxuries nearby.
Anyway, I placed my second city south along the river to capture the horses, with some tile purchasing. My third was south-east of that to grab a luxury (or two). I stopped after that because I anticipated (correctly) that happiness would be a problem when I started to capture cities.
Interestingly, Rome decided to go after Persia before I was ready to DoW. I think he went after Darius instead of me because I had already built up a significant army already. He asked me to join him and I agreed, with 4 companion cavalry at the time. My first target was really Rome, but I saw the war as a chance to let them weaken each other, and I didn't really mind taking Persian cities first instead.
I stayed clear of the route between Rome and Persia. Instead, I tried to take the Persian capital, but it quickly became clear that 4 companion cav weren't enough. That and he got walls in two of his cities and a spearman pretty fast. However, I did eventually easily take a small city that he founded north of his capital.
I soon made peace with Persia. Meanwhile, I had produced maybe two swordsmen and two catapults, and moved them into position to attack Rome, which I did when everything was in place. I was able to run him over fairly quickly, especially since I don't think he ever built any spearmen. I wanted to attack Persia again after that, but I had to build some happiness margin.
What really helped here was sending out a trireme and finding the other civs. I regretted not doing so much earlier. Through diplomacy (and allying with maritime city states) I was able to acquire enough luxuries to let me resume my conquest. I also got research agreements from all of them.
Then I upgraded my army a bit, and attacked with 4 companion cav, 3 trebuchets, 3 longswordsmen, a hoplite, and a GG. Darius was pretty hard to crack - he had lots of pikemen (maybe he didn't have iron, or was it my horsemen?) - and city walls in 3 of 5 cities. I declared war and waited for him to move his units into my territory, allowing me to weaken him a bit without losses. Then I laid seige to his capital, which took a while due to high city defense, reinforcements, and him allying with Bucharest which threatened my flank.
After securing my continent, I proceeded with a plan to tech peacefully. I have 4 cities under direct control, with a lot of puppets. I think I will found one more city east of Athens. I'm allied to all the maritime and cultural city states I've come into contact with. I try to get research agreements and trade for luxuries whenever I can. I've been able to grab at least half the wonders, with the help of several great engineers. With regard to social policies, I went to freedom to reduce the cost of future policies (not sure if it's worth it), and then to rationalism.
The main problem I'm having is happiness. I've had to limit the growth of my cities quite a bit because of it. I wish I could prevent the puppets from growing. Maybe it makes sense to not care too much about being in unhappiness. I think it might make sense to slowly annex the puppets so that I can direct them to build happiness buildings. It just seems really hard in this game to control happiness, especially if you have puppets.
Status:
Turn: 232
Beakers: 296
GPT: 184
Happiness: 10
Culture: 177
Cities: 4
Puppets: 10
Techs: Everything before Industrial Era except for two techs
Social Policies: Tradition 1, Liberty 5 (this was a mistake, as only representation seems really nice - better to instead go tradition and patronage), Freedom 3 (for free speech), Rationalism 2