This family of games is based on the Jenga brand. Generic stacking games should use the family Tower Stacking Games
From Wikipedia (http://en.wikipedia.org/wiki/Jenga): "Jenga is a game of physical and mental skill created by Leslie Scott, and currently marketed by Parker Brothers, a division of Hasbro. During the game, players take turns to remove a block from a tower and balance it on top, creating a taller and increasingly unstable structure as the game progresses.
The word jenga is the imperative form of kujenga, the Swahili verb "to build"."