I started this one last night. I've only recently move up from King to Emperor level, and lost the Deity Korea challenge; figured I ought to drop back a level.
I almost always open both Tradition and Honor, then finish Tradition, then a mix of (usually) Commerce and Rationalism. I decided to go Liberty this time because AI America usually does pretty well with it. I'm about 150 turns in and doing okay but falling behind. [let's see if I got the spoilers thing figured out]
I settled on turn 1 or 2, and started exploring. I missed several goody huts by one turn because my closest neighbor to the east beat me to them just as I got there. [skipping ahead] The one early-ish wonder that I build was the Pyramids. I got beat out of Petra by one turn; it would have been awesome in New York. My scouts meet several other civs, CS's, and find quite a few goody huts. One of the goody huts was a faith one, and I got the pantheon that gives faith from incense and wine. That was enough to get me a religion eventually w/o shrines or temples. (I built shrines and temples much later; still don't have a grand temple but it's on my build queue) I built a scout, monument, granary, archer. Got my free settler and headed NW and settled on top of some marble.
I connected my cities with roads, built archers and and composite bows and libraries. Around turn 85 or 90, My previously-mentioned neighbor declares war on me and marches on Washington with a carpet of doom. He had the largest military in the game at that point. I fought them all off (even his warriors were hard to kill; they have lots of promotions.) I checked the demographics screen and now he has the smallest military; he threw everything he had at me and not his capital is undefended. By now I have about 3 swords, 3 composite bows, and a great general (with a pike being built in Washington) He still had one warrior and he bought a chariot archer (he must have bought a horse from somebody) but I captured his city (his only city) easily. Now everybody goes to "guarded" status and won't trade luxuries with me, or they offer me 1 GPT or 1 horse for them. I saved the game and I've played it two different ways from this point and I don't think either of them was the right way.
I think I should have gone to war again quickly after winning that first one, but I picked the wrong civ to attack first. They were both weak after their war, I should have declared on the one that I knew would recover and saved the crippled one for later.
Or maybe I should have opened Tradition instead of Liberty, because that's the one I know how to play. At this point I have minutemen and crossbows and one cannon, and I'm beelining Dynamite; will use Oxford for that. My cities do not have all that great production; I really wish I'd gotten Petra. Also the AI's seem to know what city my spy is in, even when I move him around. They're stealing techs from me right and left even tho' I'm no longer the science leader. They steal from either Washington or Boston, whichever doesn't have a spy (I haven't killed one yet.) Boston has the highest population, but Washington is pretty close and has twice the science output.