The mouse is extensively used in
ETAH, and is both easy and intuitive. Elliot and Gerdi both provide information to help kids learn the simple board game, and ET helps prod children to continue with his cute dialog.
If you want a nice, safe game that doesn't include violence, and it doesn't advertise the pop culture to your kids, then consider ET Away From Home. It has sharp graphics, good sound, and solid gameplay. It's easy for younger kids, but provides ample challenges even for those bright children that pick things up easily and quickly.