What I see:
Graphics: Marketing, makes people choose your game over other games.
Sounds: Well made sound effects takes players into the game world and helps to forget the real world.
Music: Well made music helps with marketing, makes people come back to your game. If made wrong works just the opposite way.
Design and programming: These are the ones that activates conversations, makes people tell good and bad things about your game. These has to be well executed or else the game sucks and it's only a matter of time everybody avoids the game.
In my opinion the most important thing with game music is that it adds to your game and doesn't irritate people. You should never hear when the music starts and when it ends. The music also should not contain too much high frequency sounds.
Sound effects should leave enough room for multiple sound effects overlapping. Sounds playing repeatedly such as guns should have little variations made wit different sounds or with slight randomized pitch changes.
Graphics should not be too bright in contrast, because displays are in the end just lamps that people stares. As in many movies, the sudden added brightness can be used to make people feel like they are crying in a sad scene.
Good music can save boring games and alter the players expectations or control the overall mood. Would Forrest Gump has been the same movie with Looney Tunes theme or with Gangham Style. What makes simple games such as Hotline Miami so appealing is the sounds and music in it.