Don't really have a lot of experience on standard speed, and have really only played a couple of games on Immortal , but well.. why not give it a go
Contender save:
Looked like a decent starting position for a cultural attempt, so that's basically what I decided to try for if possible.
I followed conventional wisdom and settled 1N after not really revealing anything to dissuade me from it on inital exploration.
Started off researching AH, then went for pottery, picked up mysticism (because I found obelisks to work ok on this start in testing), then went for alpha.
Second city went down by food and horses (to provide decent barb defence), and third settlement followed quickly north by cows, rice and banana (GP farm). I also settled a 4th city NE (with rice and Ivory). 5th city was founded (575 BC) by copper and fur to the south, but a barb axe penetrated defences and razed it just a few turns later (bummer).. should've been settled north near Iron instead, I guess. Resettled the same location a bit later when Kublai had claimed the Iron to the north.
Founded Taoism in 425BC and also relatively quickly got hinduism(75BC) and conficianism(300BC, yeah.. I was late in researching CoL) spread to me. Tried to get buddism in from Fredrick and Asoka but to no avail. Religions were ok for cultural at this point.
Had some diplo issues here where I couldn't really trade with Asoka or Fredrick since they had formed a nice little buddism block that the rest of the AI did not like. This sort of stunted my research a bit as well, and everyone seemed to be turtling along tech-vise. (I was still ahead by 500AD even with my slow tech rate, and I decided to just monopolize Alpha for quite a while, which probably also contributed to the turtle tech speed in this game)
The way things are by 500 AD:
I'm alive and conditions are about as stable as they can be with Kublai, Toku and Nappy next door. I'm at +3 or better with all but asoka who's at -1 due to being cut off at someone's request.
Research only at 100

, Still ~20 turns off Liberalism.
2 Religions spread, and built temples. 3rd religion about to be spread. Do not have Music (Mao does), so no cathedrals built. NE still ~20 turns off as well. No state religion.
Due to getting my 5th city razed I didn't get to a decent 6th city site in time, and decided to try getting cultural off 1 cottage city and 2 food cities. Not really optimal, but not much I can do. Could fit in a 6th city within cultural boundries later, or just go with this plan.. or improvise
Not looking good for a quick cultural win, looking ok to get a win eventually.
Bugg123