Group Games
Group games are fun and do not necessarily require any equipment or skill. Games like "duck, duck goose," for instance, require that children sit in a circle while one person who is "it" selects who the next "it" person will be. Even a simple game of tag or hide and seek allows children to bond together. Children can even run a three-legged race for the opportunity to interact closely with their peers.
Sports
Sports allow children to develop teamwork skills they may not get in other game forms. Sports like basketball require that kids work in teams of five against opposing teams. To avoid having children feel left out, choose teams for the group so children of different skill levels can interact. You may want to play multiple games until one team makes 10 or 20 points before the other. After, switch players so everyone gets to play with one other and remove the competitiveness from the game.
Trivia Games
Give kids the opportunity to use their brain power together in a game of trivia. Divide the children into two groups and ask each group a set of trivia questions. Require that the teams spend at least 10 seconds coming up with an answer to the question collaboratively to avoid one child's dominating the game. Award a point for each correct answer. The team with the most points at the end of the game will be the winner.
Icebreaker Games
Kids can get to know one another by playing icebreaker games in a large group. Games like "I never," for instance, requires that kids state things that they have never done. Kids who have done those things will raise their hand. A child may say "I've never been to Disneyland," and all the children who have been to Disneyland will raise their hands. You can also pair children to play "five things" together. This game requires that children learn five facts about their partner. After 10 minutes have passed, the children must return to the group and recollect all that they have just learned about their partner.