We Are Dancing in the Forest (Wolf Game)

This game is very popular with my students and can either be a chase or freeze game.
Source:  Eisen, Ann and Robertson, Lamar.  An American Methodology: An Inclusive Approach to Musical Literacy p. 402

Up, Down

This game is great for the primary grades, especially at Halloween.
Source: Trinka, Jill.  The Little Black Bull and Other Folk Songs, Singing Games, and Play Parties. Folk Music Works. 1996. pp. 50-51

Starlight, Star Bright

This is a simple three-note song from England that is beautiful when sung or played and lends itself easily to vocal improvisation with a coda, "I wish for..."
Source: Eisen, Ann and Robertson, Lamar.  An American Methodology: An Inclusive Approach to Musical Literacy.  p. 387

Snail, Snail

This is an English children's game in which a leader slowly leads a line into and out of a spiral shape. 
Source: Locke, Eleanor G.  Sail Away: 155 American Folk Songs to Sing, Read, and Play. p. 4