Games are, by their nature, inaccessible. I'm not talking about disability necessarily, but the fact that basically any game requires focus, a comfortable space, and the usage of an input device.
Interestingly, I wonder if that very inaccessibility is what gives games their educational power. You value something more if you invest in it, so if you set aside time and space to play a game, you're more likely to listen to its educational goals.