Xonix is a very addicting (well known) game. In Xonix, you have to try to conquer as much as possible land from the xonixes, little spider-like creatures who try to embitter one's life.
The rules: Your goal is to get more than 70% of area. You draw line. When line is closed area is yours! Enemy balls guards it, so when they cross your way you have to start over.