Common Rummy Variations. Gin Rummy, a two-player game with a fast-paced gameplay, is one of the most favored variations. In Gin Rummy, the obsatta-king.ject of the game is to line up sets or runs of cards in your hand. The point total is kept track of until one player reaches that goal. Rummikub & Indian Rummy. Played with two decks of cards and renowned for its intricate strategies, Indian Rummy is another well-liked variation.