Here are some that I've done at my kids parties.
Simon says is a classic that kids still play at parties today.
Clothes pin drop - Back before my time this was done using old glass milk jars. A mason jar, or old pickle jar works well. Have the child kneel on a chair facing the back of the chair. Set the jar on the floor beneath the jar. Give the child 10 clothes pins, without allowing their hand to below the height of the back of the jar, see who can drop the most clothes pins into the jar.
Egg race - Hard boil some eggs. Give each child a spoon and the egg is placed on the spoon. The child holds one hand behind their back. See who can walk across the room the faster without dropping the egg. You can also play in teams as a relay race.
Scavenger hunt - Break the kids into groups. Give each a list and see which team can find the most items.
Scavenger hunt with clues - Hide a prize. Make up clues that will guide the kids to the prize. ie... "To find your first clue, you'll need to wash your hands", the next clue is under the soap dispenser or pinned to a hand towel in the bathroom.
Memory game - lay out 20 small items on a tray. Let the kids look at the items for a few minutes. Remove the tray and see who can remember the most items.