What's your overall preference?
In the arcade games I'm including all those games that don't rely on story, or if they do, it's very minimal, i.e. Super Mario platformers. Also some FPS's, sports, racings, fightings, simulations etc... - multiplayer or not - and all those games that just test the player's skill through their gameplay/game mechanics.
In the story-driven games I include all those games that really absorb you into the story and thus heavily rely on it.