Games that are fun and educational are candyland (colors), memory (remembering), hi ho cherrio (counting) chutes and ladders (advanced counting). All these are also good to learn turn taking.
There are many, such as bingo, candyland and memory. In addition, kids can play soccer, baseball, hockey and basketball (depending on their ages and skill level). Hide and seek and playing tag, along with going swimming.
Board games like Candy Land and Chutes and Ladders are wonderful children's games. Good Mom parent and child activities are things like hangman and tick tack toe.