You've summarised it perfectly, in my opinion. To me, the most important things about a game is it's gameplay, story, music, and atmosphere. All are tied to eachother, and tied to graphics as well, but not, as Gare says, the polygon count. If it looks fantastic, it's a plus, but it's hardly required to me.
Final Fantasy XIII is a prime example of a game that got it completely wrong in my eyes. The graphics were polished to a mirror shine, and so well-done they made me go "whooooaaaaa" the moment I started playing, but it lacks story, it lacks gameplay, and it lacks atmosphere. (I won't harp about the music, because that's too much in the eye of the beholder.

). Oh, and I realise the story's really quite expansive, but in saying 'it lacks story' I also mean that it isn't told in the right way. I read the entire encyclopaedic codex so I know what was going on, but that was the ONLY WAY to know what was going on
