With the new patch of CIV 4, you can no long know your opponent at the start of the game through looking at F9 city screen.
I just found another way.
. Play the game for one turn. Then try to rename your capital to the name of other civilization's capital. For example, if you can rename your capital to Athens, then you know Alex is not in your game since the name of the city can not be duplicate. If you can not, then Alex is in. Of course for the civilization with multiple leaders, you can not know which leader you are dealing with.
This is probably most useful at the early game to decide that whether you want to pursue early religion. If at higher level, your game is packed with Saladin, Gandi, Monty, Issy etc, then you can forget to get an early religion.
I just found another way.

This is probably most useful at the early game to decide that whether you want to pursue early religion. If at higher level, your game is packed with Saladin, Gandi, Monty, Issy etc, then you can forget to get an early religion.