Well I don't have a shimashimatchi figure but I do have a mametchi figure.
The two games are Hip Hop and Speed Runner.
In Hip Hop you have to jump between a gap and catch music notes while avoiding the skulls.
In Speed Runner you basically ride in a space ship and dodge up coming blocks by moving to the left, right or staying in the center. It gradually speeds up and gets harder. I think you can hit a block three times before it's game over. (This is personally one of my favorite games because it is pretty quick and I just think it is fun!)
Mametchi owns a toy shop. You can buy lots of items here and use them at your house. These are the nine items you can buy:
1. Rabbit costume
2. Car
3. Train
4. Robot arm
5. Fun box
6. Robot
7. Unicycle
8. Space ship (Like a toy rocket.)
9. Ball
Sorry I don't know about the shimashimatchi figure, but I thought this would help you out anyways. I really like the mametchi figure, it's probably one of my favorites. I would definitely recommend it.
Somewhere on tamazone... The project zone I think,,, go to the fourth page ( or was it third ?) and look for something that says Gotchi figure chart or something like that