Rummy's timeless appeal stems from its traditional games, which have been played for generations and in many cultures. The card-playing community has made tradinew rummy appstional rummy games like Gin Rummy, Indian Rummy, and Kalooki mainstays. Gin Rummy: An Artistic and Strategic Game. For example, Gin Rummy is a two-player game that stresses strategic melding & deft card management. In order to maximize the value of the unmelded cards in their hands, players try to form sets and runs.