A game does not necessarily need story, but it does need motivation. In many genres, that motivation is at least partially gained if not directly by story then by place and experience. Based on pure mechanics alone, many genres or game would have become extremely boring a long time ago.
That said, there certainly are games that do manage or could manage to exist without a story at all, and through which experience is purely part of the mechanics. Fighting games, for example, really don't need a story at all. Sure it can be nice to have one, but purely given solid mechanics and a diverse roster of well designed fighters, they could definitely still be amazing and long lasting games.
That said, there certainly are games that do manage or could manage to exist without a story at all, and through which experience is purely part of the mechanics. Fighting games, for example, really don't need a story at all. Sure it can be nice to have one, but purely given solid mechanics and a diverse roster of well designed fighters, they could definitely still be amazing and long lasting games.