Our original idea was something not role playing that was easy and had miniatures. Ideally we were looking for something that allow for players to get a taste of miniatures as well as boardgames. Here are some of the more recommended games.
Zombicide. I guess this comes from a kick starter but here is the URL for the site and I think you can buy it now. I am not sure! Also in this genre is Last Night on Earth which had a runner up vote. http://guillotinegames.com/en/
Wiz War: This is a classic old game that actually used to be played with a live dungeon back in the old convention days. http://fantasyflightgames.com/edge_minisite.asp?eidm=177
Descent: This and another game called Super Dungeon Explore were recommended several times. I am not sure i am actually leaning to the dungeon explore game but we will see. http://fantasyflightgames.com/edge_minisite.asp?eidm=176
Battletech: This venerable game got several mentions from the board. I think it may work as several players had tried the old game. I am not sure I remember it as being very random with weapons caches exploding and deciding the game. http://www.catalystgamelabs.com/battletech/
Frag! Steve Jackson's Games semi war game was also mentioned a bit. http://www.sjgames.com/frag/img/frag_set_up.jpg
Infinity: Corvus Belli's miniatures game was mentioned as something we might try out as well. http://www.infinitythegame.com/infinity/en/