Thanks for the comments, Fleinn! I think the first God of War captured the whole Greek thing better than any of the other games because its story builds off the same format as the classic songs, like the Odyssey. My favorite example of this is the "second ending" that is present in Greek epics and is also present in God of War (Kratos' death leads to a second ending in the form of the final confrontation against Ares and the return home).
The third game doesn't have nearly as cohesive a story, in my opinion. There are some cool attempts made with the character of Pandora but I was disgusted by how quickly that turned into the classic JRPG "friends are good and believing in yourself is awesome-possum."
As for watching God of War, I think it is fun to watch (my sister watched me play for, like, four hours one night and she NEVER does that). Probably because there's a lot going on at once that the player doesn't see. Like I was watching a clip of one of the battles last night and noticed that a Titan was moving around in the background... something I'd failed to notice while actually playing, so concentrated was I on watching the enemy for the proper time to dodge.
Dodging remains fun in God of War because the timing has to be just right. But it's diminished by the ultra-block button that you can just hold down with a rubber band while you go get a sandwich. That's a bit of an exageration, of course, but any GOW player knows what I'm talking about. The biggest problem is that there are two really useful combos (if memory serves me, it's sq. sq. tr. and tr. tr. tr.) that do massive damage, knock enemies back, and interrupt attacks. I tried to vary it up at times to make things "cooler" but I usually just ended up getting my ass handed to me. Enemies are sometimes impossible in God of War unless you fight cheap. Especially the fucking Satyrs. Gods of lust and drink, my ass.
Note to gamers: when someone shoots you in the face, they aren't "gay." They are "psychopathic."