My favorite civilization is tough to define. For one, does medieval europe count as a civilization, or can it be separated?
For antiquity, gotta be the Chinese in some periods, with Greeks Egyptians not too far behind.
Medieval times is tough. I like the arab civilization, what with Cordoba and all. Great cultural and scientific advancement. The Chinese get another mention. I also like the Italian merchant republics for a lot of reasons, though I wouldn't choose to be there.
1492 to end of Napoleonic wars, France is pretty tempting because of sheer power, and the Ottoman Empire is too. Neither are civilizations I really like though.
End of Napoleonic wars to 1919, France again, at least for the third republic and the Belle epoque. Otherwise, it's really difficult, honestly. Before the third republic, I can't really think of a civilization that I like.
1919-1945, probably France. They tried to fight the Germans and got their asses kicked for it. Then they had an extensive resistance network.
1945-now, much harder to like France, considering how they "handled" decolonization. Culturally, I still like France, and they are at least trying to help out in a good number of places, but I can't call them my favorite civ. Don't really have a favorite civ right now.