I loved jump rope. That was probably my favorite thing to do or play when I was a child. I loved to play this game we called 'Chase'. You had to have at least four people to play - 2 to turn the rope and two to jump/run. Whoever went first called the name of who they wanted to chase them (if you had more than four people) and then they had to run in a figure eight pattern around both of the end people while jumping through the rope as fast as they could. If they thought the person chasing them was getting too close they could yell 'Reverse!' and then both people would turn around and the chaser would become the chased and it would be a little harder because the jumpers would have to jump into the rope backwards. This entailed knowing your chaser and using strategy because some rope jumpers never could master the art of 'jumping in' (that's what we called it) never mind 'jumping in' backwards.
I also really liked to play Manhunt. It was hide and seek/tag with a twist. You had one hunter and everyone else had to hide. When the hunter found someone, that person joined the hunter in finding everyone else and the goal was to be the last person hunted and to make it to 'base' or 'homefree' without being tagged.
We lived in a neighborhood with lots of kids so we would make the hiding area over about five or six houses/lawns and usually waited til dark in the summer so it was really exciting/scary-especially when you were the last one waiting in the dark to make your move get back to home base chased by everyone coming from all directions.
I also loved kickball. I even liked dodge ball and I loved baseball/softball.
I LOVED tetherball.
I loved playing anything with that was physical exercise/running/hand-eye-foot coordination.
Board games - I liked yahtzee, backgammon (my dad taught me to play with him when I was about six), chutes and ladders, and I loved to play cards- my favorite child's card game was Old Maid.
I don't know if you'd really call this a game, but we used to ride our bikes through the woods and pretend they were horses.