Well okay, the poll options aren't extensive enough.
I'd rather play a great game with bad graphics than a bad game with great graphics any day.
However, graphic design is vital to many games. You think pixel art from those 16-bit games is easy to design? It's not. Not at all. It takes a lot of skill to make pixels look good, and it's more than possible.
For that matter, you think Bioshock would have been as atmospheric as it was without the graphics? Without the random trash strewn about, the realistic water streaming into the halls of Rapture?
Graphics are absolutely important. They are not the most important thing about a game, but they are most definitely important.