That sounds fun. Here's another one. First player (1) says, 'Grandma is going on a trip and in her backpack is AAAA'. Player (1) determines a pattern to follow in what is in the backpack. Player (2) responds with 'Grandma is going on a trip and in her backpack is AAAA and BBBBB', trying to guess the pattern and following with an item that fits the pattern. Player (1) continues to add items to the backpack that fit the pattern, until another player figures out the pattern. You can use an alphabetical pattern, animal species, what an item is made of, etc. 2 or more players can play. First player to guess the pattern, wins, and starts the game over with a different pattern.
