Sure, any precise definition I give can be argued against which is why I'm not giving a very precise definition. But usually when people present a video game that lacks a goal so as to give an example of how games can be art, they point to extreme outliers like so called "walking simulators" which may or may not be video games but at any rate are not what most people think of when they consider video games.
When you consider video games outside of the context of arguments about whether they are art, you usually think about Mario, Halo, Minecraft, etc... these are games that are defined by skill, goals, strategies, mechanics. They make use of visuals, music, storylines, characters, a host of various art forms but at their core, after stripping away the art that they make use of, you get something at the core.
What that core is, what I consider to be a game, isn't something I sincerely think most people would associate with art in the same way music or movies are associated with art.
We just have come to mix video games with art together that as a consumer we don't see the differentiation between the two. But I think as a game designer it's worth have a clear distinction between the "game" and the "art". I also think that good games develop those two things independently of one another with the art layered on top of the game.