The problem with games is that they're made by hundreds of people who 99% of the time are not united under a singular artistic vision such as a filmmaker's, and that's if you buy into the auteur theory. When we talk about games we talk about companies. "The EA game, the Ubisoft game, the Nintendo game". Most of the time there's very little personal input into the games.
I've never played a game where I could reach out to the artist behind it, if that makes sense. I've never felt the artist, let alone the person, behind a game. I can read Raymond Carver and Sylvia Plath and Kurt Vonnegut and feel how these people bare themselves for me. I can read Aeschylus and Sophocles and Eurypides and sense how they tackle the grand questions that plagued humanity for thousands of years, before and ever since.
Games get an emotional response from the gamer. They make you happy, sad, scared, whatever. I was very sorry the horse died in Shadow of the Colossus, I thought Okami was very pretty, I got feelings of melancholy while playing ICO. And Silent Hill 2 has a tremendously heart-wrenching story. Fair enough. But I feel that, for all the emotions I find in myself, there's very little emotion in the game. You're not looking into anybody's soul. There's a lot of artistic input, but little personal input.
Most artistic decisions in a game have a practical nature. Everything serves a purpose. And if not, you compromise, because time and money. But you take a brush or a pencil and you can go anywhere you want.
It'll be a long, long time before gaming produces anything that can be compared to the literary classics.