I found this DIY board game that involve Legos! This a great project to do with your little one that is able to comprehend. My daughter is not at that stage yet.
DIY Lego Board Game requires things that you probably have in your house like construction paper, printer paper, and of course legos. Click on the link to get more information.
I wish I could take credit for the idea but I found this through the Google+ Arts and Crafts Community.