Sorry for yet another Name that game post, but I've been trying to find the name of this game for a long time. I think it is very simple to figure out though because it is very unique.
In this game you are Noah. You move down from your ark on this field trying to find pairs of animals and bring them back up to the ark before the flood reaches it. The flood moves up constantly towards the ark until it finally reaches it. I don't even remember how scoring worked (per pair of animal saved?), or how you lost the game.
I remember just loving this very simply game. Played it a few times at Chuck E Cheese a LOOOOOOOONG time ago, but have never been able to figure out the name...