I just played games with my niece.
Dora ice hockey. Princess Yahtzee. And a game that is sort of like "where is waldo" where you have to find all kinds of items on a huge picture.
I found the last game very interesting. My niece turned 4 in september. She could find the items (cherries, eggs, birds...) on the picture. But i would be able to find it faster. But where she would beat me is that she would memorize the big pictures (there are hundreds and hundreds of items on the picture).
She knows the 50 little pictures she is supposed to find (cherries, eggs, birds, radish, plates...) and she would look at the big picture and memorize them as soon as we started playing.
It was quite interesting to see her do this.
But in addition, there are like 20 big pictures, and she had played one of them 1-2 weeks ago. and she was remembering where the things were from last time. I figured this out when she would show things to me and add, "oh mommy and i couldn't find this one last week" and then she would point to it.