Story is by far the most important, gameplay takes a definite back seat. There are games where I just am not good at the gameplay that I'll play for the story.
Though as far as "above" or "below" average gameplay, i can play pretty much most games if the story intrigues me. There's very little gameplay I don't or can't enjoy, it just isn't enough without story (barring a couple of examples, like FF XIII, or city builders/simulation types of games).
Edit: really, I say a good story, but as long as it's a story focus, I can enjoy it. I'm the kind of guy who can enjoy trash stories as well as the good ones. A poorer story means the gameplay will have to be better, but I can still do it.
Edit: Please expound on your theory, Kefka. "Extremes aren't important" is awfully vague.
That test is almost impossible to read on the default background.
Hurry up and fix the dark theme BioWare techs!!!
It works fine for me.
Conversely, Mario 3 has a near non-existent story with a very lame end, but most won't playing Mario 3 for the story. The vast majority of the enjoyment is due to strong level design, open-world design, and the miscellaneous bells and whistles that come with it.
Mario 3 is open world? What?