There's a certain kind of graphics that turn me away instantly however good the game's story and gameplay might be. Perhaps it was a case of playing these games way too late, but instantly,
Xenogears and
Wild Arms 2 became my most vivid memories regarding this. I heard how legendary a game Xenogears apparently is and all the hype surrounding. Given it was made in 1998, even the neato anime-style cutscenes did not even redeem the pugly early gen pixel pseudo 3D graphics. Similarly, being a Wild Arms junkie, I was ecstatic to finally get a chance to play Wild Arms 2, but when I started Lilka's story, I was shocked to notice that I thought that even Wild Arms 1's graphics were smoother, less rough, jagged and pixelly, and even just plain better than Wild Arms 2's were for some reason.
So I'm a graphics whore when it comes to the earliest generation PS1 rpgs most notably. I'm even starting to find that I can't stand much in the way of PS1 graphics in general now

It's mostly that they give me a "failed attempt at 3D" vibe nowadays, which is most glaringly evident in early-gen games.
Ironically, I can play NES and SNES games no problem and am far from a graphics whore about them. I can even stomach the 8 bit pixels, limited colour palettes and sprite action, not even out of mere nostalgia. It's like these games did what they did well for 2D graphics (which sounds like quite the sweeping generalization, but that's honestly what I think).
Certainly, while cutting edge graphics help, I am no spoiled brat, as contradictorily as it sounds, when it comes to playing a game without cutting edge graphics. I can stand almost any kinds of visuals, except for, as I stated above,
early gen PS1. I'm pretty flexible in the graphics department and won't object to playing just about any game without jarringly rough visuals really.
How ya doing, buddy?