Automated Teller
Space Race and 100K are quite possible, but require basically defeating our opponents before hand - only way they make sense is if we get most of the world, but our opponents are on an island and have a huge navy. Easier and better to just destroy them.
20K - fun, but like General_W said - paints a huge target. Plus, puts you so far behind the opposition that you will probably never recover. Probably easier to do with the Greeks than with Korea in a multiplayer game.
The military/domination conditions are the ones we need to worry about. I agree with the General that we will likely not be able to take over the world until pretty late - at least Military Tradition. Being the tech leaders may help us here (assuming that we are, which we should be), in that we might be able to get to Mil Trad 10 turns before the ottomans (depending on what techs we get for free and how quickly we get to republic.)
I think we can and will be the tech leaders - commercial and scientific is hard to beat in that regard. What we have to weather is an early rush by mounted warriors and/or Gallics. I suspect Sumeria will be left alone - the Enkidu is tough to overcome, from a cost point of view - but I also suspect that Ottoman will be a reasonably early target, if just because they are scary. The big worry with Korea is that we become an early target because we have a late UU and people don't want us to be a tech leader. As i see it, the later the game goes, the better off we are (assuming we survive Sipahi's)
Paul#42
While 100k, space and diplo are out of question imo, it might be appealing to have a bet on 20k - I wonder if we can do this half-hearted without neglecting our development.
SoZ, Pyras, libs would be nice to have anyway, but temple and some other wonders would be wide of the mark but might put some slight pressure on the late game that most other teams will be sniggering at for most part of the game.

This would fit our "sneaker approach" we already took by "chosing" Korea. We are the underdog and should play the game that way.
Apart from that 20k is my favorite VC (my only Gotm awards apart from an accidental cow) and I really like the cultural dominance tied to it.
However apart from building early culture this would really challenge our diplomatic skills even more than it will happen anyway.

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AutomatedTeller
My opinion is that we should not be scared of *any* of the other civilizations. Chamnix may be the ultimate micro manager, but he's only 1 of team. MW and Gallics are scary - but they are several techs away, plus a resource for both those people. MW get killed by archers pretty easily, and Gallics are expensive to produce. Besides - if it's a pangea map, no one is going to be too happy with either of those two getting an early advantage and if it's an arch map, we will be safe for a long time.
Donsig
As for victory condition I think realistically we have to go for dominaiton. 20k would sidetrack us from what we need to do to stay strong, alive and competitive. We should by all means build libraries and beneficial wonders but we have to temper our cultural building with some defensive capabilities.
AutomatedTeller
I like that idea. If we can make such a city coastal, we can also pick up collosus (a relatively inexpensive good culture which is half our GA) - that plus the GLib gives us a GA in the late AA, early MA, which is probably about when the Gallics/MW will start making themselves a serious threat.
I'm not convinced a 20K win is realistic in a game like this - unless we pop an early SGL that we can use for Pyramids or GLib.