Gameplay, story, graphics, artstyle, music, ect. All parts of what makes a video game. Some gamers argue about what parts are more important, and what parts doesn't matter that much.
What do YOU consider important in a game? Less important?
For me, that would be:
-Gameplay and good game mechanics. A game should be fun to play and have fun and interesting mechanics. If it's boring to play, it won't matter how great the story is or how amazing it looks, because I want to enjoy it as what it is, a game.
-As for graphics... I don't care a lot about "graphics" in the commonly-used definition of "advanced and photorealistic". I don't care about how many polygons you managed to put into the protagonist's nose, I'd rather have a cool-looking artstyle. (Besides, more stylized artstyles often age much better than whatever was considered "realistic" at the time... Lots of 16-bit SNES sprites still look amazing today) But in the "artstyle/design" definition, then yeah, I appreciate a game that looks great, and I prefer more stylized, colorful, and often "cartoony" designs. Give me something that's not realistic grays and browns! Some games definitely fit a realistic style better, but most of the time those aren't the games I'm into. But it's not really a dealbreaker if an otherwise good game has boring or just bad graphics, as long as it doesn't literally hurt my eyes to look at.
-Story is, generally, not very important for me. I don't care if the game doesn't have an interesting story, just give me some levels to beat, enemies to kill, secrets to find! No one plays Mario for the story. Might have something to do with how my favorite genres, platformers and rhythm games, are genres that by design focus on other things than story, and don't really need an interesting story to be good. If they tried, that could be cool too, but in some cases it might even backfire, taking away focus from what makes the game fun. The exception is genres like adventure games (visual novel-ish) and RPGs, the story is part of what makes them interesting. So how important a (good, deep and interesting) story is depends on the genre, but for a lot of genres it's just not that important. I don't really like the whole "cinematic gameplay" focus - those games have their place in the industry too, but it shouldn't be a standard every developer should aspire to, and story should never come at the expense of interesting gameplay.
-As for music... Nice music is great, of course, but in no way vital for my enjoyment of a game. Well, except for rhythm games. For a music-based game, I pretty much EXPECT great music since it's what the genre is all about. Otherwise, I don't mind if a game has "mediocre" music as long as the rest is good, that will usually be the least of my complaints.