Gameplay>sound>visuals>writing
Basically, I look for a game to be fun and entertaining, and the thing I care least about is the plot.
I would also like to add one more thing, which I would put above visuals: effects/feeling. Basically, if you hit it with a heavy hammer, for example, the screen shakes, if something explodes with force, everything shakes. Also, for example, if a robot is destroyed, it should be clearly seen, at least to some extent, how it is destroyed and its parts separate and fall into pieces.
I hate when a game looks so good and plays so well, but then you activate a power that looks super devastating, and then the power hits and... Nothing flies! Nothing shatters! The screen doesn't shake, and you don't see or feel any impact!
Basically, put a robot on the stage that looks super heavy, and then the game treats it like a plush toy. That really ruins some games for me, although I can't remember the names.