Were I a game reviewer, and I was only reviewing one aspect of a game, I would more than likely gauge it's quality based on the storyline. A quality story to play through more than makes up for lacking graphics, level design and, in some cases, game-play.
Normally, I base my opinion of games on these qualities: Storyline, Graphics, Game-play, Level Design, and Re-play Value.
When one plays a video game, I would expect (read: Hope) that they're playing it for more than just one aspect; such as Graphics, but most often, it is not to be.
Much of the time, I find myself enjoying a game that lacks in some, or many, aspects but excelled in one. This 'one' aspect, however, usually isn't graphics, as I only rate on graphics if the game has been in development for a LONG time, and is still lacking in many areas. In situations like that, at least passable graphics are expected. Poor graphics are a sign of poor effort.
One game I find that is somewhat balanced in the 'pros' and 'cons' is Ninja Gaiden 2.
Ninja Gaiden 2 was a great game graphically and game-play wise; Your character moves easily, agility is not hindered in any way, and attacking generally flows smoothly from 'A' to 'B'. The graphics are great, especially given that the game was Hella-rushed when compared to other releases that year.
However I found that the level design, Boss design, and storyline were absolutely pitiful.
There's absolutely no transition from area to area, you're just unceremoniously 'dropped' into a different level, and told you need to kill anything not human.
The first few bosses behavioral patterns ranged from 'Fucking Unstoppable Herculean Killing Machine' to 'Ouch I got a Splinter, here's my Weak Spot, Please Kill Me'.
One boss, I actually died without getting a hit on, then when I continued the first time, I killed him without taking any damage at all, none, not even a scuff on my boots.
Level design was specifically tailored to be cool-ish looking, but not in any way believably linear, or flowing. Certain areas, in the subway, for example, would have been physically impossible to form under ANY circumstances unless the patron Deity at the time said 'Hmm I think this will go... here... and face... this way... THERE, we're good'
There were areas in every single level where the only thing keeping me from leaving was an invisible wall that only enemies could pass through. Not even the courtesy of a pile of rubble or destroyed cars.
Anywho, this rant has gone on far too long. Point being: Judging a game on one aspect can usually only be based on either of these: Value for money, because it leaves the other areas open to be judged. Or Storyline, because even if the graphics, or the gameplay, or pretty much any other facet fail, a good storyline will carry a good game.