I prefer to play on huge maps with maybe 12 total civs, sometimes less, and at most an equal number of city states. Usually still end up running into two other civs by turn 10.
However since the September patch my computer gives me graphics errors on anything larger than a standard map and I have given up on ever finding a fix that works. So I now play on a standard map with 6 total civs and a varying number of city states depending on my mood.
I almost always go random everything possible. My civ, AI civs, shuffle as the map, and random resources. Last 2 games I did choose Lady Six Sky and am currently playing Simon Bolivar but I will go back to random after until we get the next new civs to play with.