Happy birthday, Vel!
I'm enjoying this game for a while now. And I agree completely, it is not a deep strategy game, just a fun thing in between... but that was just what I needed too, as I can't find the time anymore to play for days on end. So I like the format. There are more advantages than flaws.
My biggest complaint, though, is that the hardest difficulty level is deity. I beat it in my third game, and ever since I might have lost once or twice. If I read some of the comments on cfc and here, it seems that many civ vets come to consider the game as a puzzle: how to solve the game of the week before 3000 BC, how to milk an AI most efficiently, etc. We really could need another level in, to preserve some of the challenge.
As it stands, I've fallen for the same puzzle trap, it seems. My personal goal is to get to AC before 1000 AD... and I just can't get it. 1025 a couple of times, but I always miss 1 or 2 turns. I've found that the map generator is too general to make much of a difference on this date: all maps are more or less the same. I miss the terra algorithm...
anyway, enjoy it for what it is: it won't be breaking any strategy boundaries, but it's a fun little game that some of us enjoy after months of (casual) play.