Regarding fast teching: Here is my turn by turn playthrough for the initial oracle slingshot. I´d be curious if you find something to improve:
turn0: research hunting, build worker, move warrior to goody hut, work rice.
turn2: Pop goody hut for mining, move warrior to second goody hut
turn 7: Pop goody hut for masonry, move warrior to the north hut
turn 10: hunting finished, research agriculture
turn 11: buddhism founded in a distant land
turn 13: worker finished, start another worker, start improving deer
turn 14: pop bronce working, warrior goes south to hunt scouts
turn 19: deer improved, move worker to the corn, start chopping the forest
turn 21: meet ghenghis' scout
turn 22: meet shaka, focus espionage only on him.
turn 25: worker finished, start another worker, so he gets the hammers from chopping.
turn 26: agriculture finished, both workers improve the corn, switch production from worker to great wall, so that the city can grow, research pottery
turn 27: meet hammurabi
turn 28: war chariot quest: yeah very likely that I will do that as it requires you to stay in the classical age
turn 29: corn improved
turn 31: both workers start chopping the gold mine.
turn 32: city grows to size 2, switch production back to worker
turn 33: worker finished, goes to chop the copper hill
turn 35: warrior kills hammurabis scout
turn 36: gold mine finished, wheat is the next tile to get improved
turn 37: city grows to size 3, meet tokugawa
turn 39: pottery in, change production to granary, research writing
turn 42: change deer tile to unimproved silver so that the city grows after granary is finished.
turn 43: granary finished, wheat improved, work all 3 improved high food tiles. workers improve gems next.
turn 44: city grows to size 4
turn 45: copper improved, worker joins the others to improve the gems.
turn 47: city grows to size 5
turn 48: GW finished, start axemen, move warrior to the top to pop the last hut for a chance on mathematics once writing is in.
turn 49: gems improved, switch production from copper to gems, workers start chopping rice.
turn 50: city grows to size 6
turn 51: writing in, start mathematics
turn 52: axeman finishes, start library, stonehenge built in a distant land, rice chopped, move workers to silver to chop wood, pop hut, gold.
turn 53: city grows to size 7
turn 56: city grows to size 8, library finished, assign two scientist specialists which were working unimproved land. warrior reaches city and takes over garrison duty, axeman goes archer hunting.
turn 57: rice improved, switch copper tile to rice, workers start improving the ivory.
turn 59: axeman wins against a quecha
turn 60: city grows to size 9
turn 61: meet montezuma, axeman finished, start pyramids, hinduism founded, workers improve the fur, work the improved ivory tile instead of copper.
turn 63: city grows to size 10, fur improved, gets worked, workers improve silver.
turn 65: mathematics in, research mysticism. Axeman kills an archer.
turn 67: mysticism in, research meditation, siwtch production to monument, silver improved, switch ivory to silver, workers head towards the marble.
turn 68: axemen kill two scouts, city grows to size 11, work ivory again.
turn 70: monument finishes, resume pyramid build.meditation finished, research priesthood.
turn 72: priesthood in, research code of laws.
turn 73: great scientist born, builds academy, one scientist specialist switched to copper mine.
turn 74: marble hooked up, start building cottages.
turn 75: switch production to oracle
turn 76: city grows to size 12, citizen works as a science specialist.
turn 77: cottage finished, starts getting worked.
turn 79: second cottage finished, second science specialist removed to work it, workers start chopping forests.
turn 81 1975 BC: Col finished, oracle finished, research metal casting, pick cs, revolt to bureaucracy, switch production to conf temple, delete missionary.