Feed the Kitty (2006, Gamewright) is quick and simple, and an excellent way to involve several kids in a game without losing their interest, at least for a little while.
Feed the Kitty is a themed version of the cult favorite LCR, which means you roll the dice and win or lose tokens until every player but one is out of tokens. In the case of this game, the tokens are mice. The two dice have images of mice, a cat food bowl, or a sleeping cat. If a mouse is rolled, then a mouse moves to the player on the left. If a cat is rolled, the player gets to keep a mouse. If the food bowl is rolled, a mouse has to go into the green bowl. If a player runs out of mice, they remain in the game because they might receive a mouse prior to their next turn. Only when there is a single player left with mice does the game end.
One moment a player might have several mice while a neighbor could be down to zero, yet two turns later the tables can be turned. The very quick change of fortunes actually make the game fun and exciting. In its own way it introduces the concepts of probability and luck to kids, and in an engaging way.
I recommend this game to kids who aren’t likely to sit through longer board games. It’s fast-paced, so there is no waiting long between turns, and of course the game elements and theme are fun to handle and even pretend with.