Great game, but may not be of interest to younger kids
I have the PS2 version of Lumines. It is simply a puzzler where you arrange falling blocks of 2 colors to make 2X2 squares of the same color to score points. Sounds boring, but is pretty addicting once you start. I reccomend this to many people, however may be too much for children under 10 to play, despite the E rating.
For a puzzle game, most kids would actually like this. It's Tetris-esque, but original in it's own way. It has no violence, sex, alcohol whatsoever, yet it's still addicting. Games like this prove that violence doesn't always sell games.