Remember people, this list is about influential games, not your favourite games!
I would say that means that slideshow games like Myst should be included, because of the massive impact it had in gaming - e.g. selling millions of copies - for good or bad and even if we don't like the game.
The same goes for The Sims. It has signalled a move for gaming to become popular among previous non-gamers.
Of course, I wouldn't want to include these sorts of games in a list, but it is a list of influential games...
Wolfenstein 3D was in no way as influential as Doom! People bought PCs just to play Doom...