USA is the best for non dom victories. You tech to 5 techs as fast as possible incuding Code of Laws then you build LOTS of settlers and maybe a few horses, until you have about 50 cities. then you tech for the win. China are also good because they tech fast and expand well.
for domination arabs are good with their religion. US and china are still good, aztec are good and spain is good to with extra gold ot start and extra mobility with nav. Zulu might be best with thier double moving impi.